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490496000 = 21353479
BaseRepresentation
bin11101001111000…
…110000000000000
31021011221210000112
4131033012000000
52001031333000
6120401010452
715104101331
oct3517060000
91234853015
10490496000
112319659a5
12118323a28
137a808227
1449200288
152d0dc235
hex1d3c6000

490496000 has 112 divisors (see below), whose sum is σ = 1226759040. Its totient is φ = 195788800.

The previous prime is 490495987. The next prime is 490496003. The reversal of 490496000 is 694094.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490496003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1023761 + ... + 1024239.

Almost surely, 2490496000 is an apocalyptic number.

490496000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613379520).

490496000 is an abundant number, since it is smaller than the sum of its proper divisors (736263040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

490496000 is an frugal number, since it uses more digits than its factorization.

490496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 490496000 is about 22147.1442854378. The cubic root of 490496000 is about 788.6394356287.

The spelling of 490496000 in words is "four hundred ninety million, four hundred ninety-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 479 500 512 640 800 958 1000 1024 1280 1600 1916 2000 2048 2395 2560 3200 3832 4000 4096 4790 5120 6400 7664 8000 8192 9580 10240 11975 12800 15328 16000 19160 20480 23950 25600 30656 32000 38320 40960 47900 51200 59875 61312 64000 76640 95800 102400 119750 122624 128000 153280 191600 204800 239500 245248 256000 306560 383200 479000 490496 512000 613120 766400 958000 980992 1024000 1226240 1532800 1916000 1961984 2452480 3065600 3832000 3923968 4904960 6131200 7664000 9809920 12262400 15328000 19619840 24524800 30656000 49049600 61312000 98099200 122624000 245248000 490496000