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490104440 = 23573974409
BaseRepresentation
bin11101001101100…
…110011001111000
31021011012212220022
4131031212121320
52000431320230
6120344350012
715100550630
oct3515463170
91234185808
10490104440
112317187a1
12118175308
137a6cbc37
144913b6c0
152d0611e5
hex1d366678

490104440 has 64 divisors (see below), whose sum is σ = 1263729600. Its totient is φ = 167574528.

The previous prime is 490104413. The next prime is 490104443. The reversal of 490104440 is 44401094.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490104443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108956 + ... + 113364.

It is an arithmetic number, because the mean of its divisors is an integer number (19745775).

Almost surely, 2490104440 is an apocalyptic number.

490104440 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 490104440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631864800).

490104440 is an abundant number, since it is smaller than the sum of its proper divisors (773625160).

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

490104440 is a wasteful number, since it uses less digits than its factorization.

490104440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4824 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 490104440 is about 22138.3025546224. The cubic root of 490104440 is about 788.4295243927.

The spelling of 490104440 in words is "four hundred ninety million, one hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 397 794 1588 1985 2779 3176 3970 4409 5558 7940 8818 11116 13895 15880 17636 22045 22232 27790 30863 35272 44090 55580 61726 88180 111160 123452 154315 176360 246904 308630 617260 1234520 1750373 3500746 7001492 8751865 12252611 14002984 17503730 24505222 35007460 49010444 61263055 70014920 98020888 122526110 245052220 490104440