256797920 has 96 divisors (see below), whose sum is σ = 676317600. Its totient is φ = 91570176.

The previous prime is 256797911. The next prime is 256797941. The reversal of 256797920 is 29797652.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49196 + ... + 54164.

It is an arithmetic number, because the mean of its divisors is an integer number (7044975).

Almost surely, 2^256797920 is an apocalyptic number.

256797920 is a gapful number since it is divisible by the number (20) 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 256797920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338158800).

256797920 is an abundant number, since it is smaller than the sum of its proper divisors (419519680).

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

256797920 is a wasteful number, since it uses less digits than its factorization.

256797920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5020 (or 5012 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 47.

The square root of 256797920 is about 16024.9156004018. The cubic root of 256797920 is about 635.6194339940.

The spelling of 256797920 in words is "two hundred fifty-six million, seven hundred ninety-seven thousand, nine hundred twenty".