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469297920 = 28357131779
BaseRepresentation
bin11011111110001…
…110101100000000
31012201001210201110
4123332032230000
51430120013140
6114322403320
714425652340
oct3376165400
91181053643
10469297920
112209a7523
12111200540
13762c56a0
1446482d20
152b301380
hex1bf8eb00

469297920 has 576 divisors, whose sum is σ = 1977937920. Its totient is φ = 92012544.

The previous prime is 469297909. The next prime is 469297921. The reversal of 469297920 is 29792964.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 469297920.

It is not an unprimeable number, because it can be changed into a prime (469297921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5940441 + ... + 5940519.

It is an arithmetic number, because the mean of its divisors is an integer number (3433920).

Almost surely, 2469297920 is an apocalyptic number.

469297920 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 469297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988968960).

469297920 is an abundant number, since it is smaller than the sum of its proper divisors (1508640000).

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

469297920 is a wasteful number, since it uses less digits than its factorization.

469297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 469297920 is about 21663.2850694441. The cubic root of 469297920 is about 777.1106779393.

The spelling of 469297920 in words is "four hundred sixty-nine million, two hundred ninety-seven thousand, nine hundred twenty".