256475904 has 72 divisors (see below), whose sum is σ = 695589552. Its totient is φ = 83865600.

The previous prime is 256475899. The next prime is 256475909. The reversal of 256475904 is 409574652.

It is an interprime number because it is at equal distance from previous prime (256475899) and next prime (256475909).

It is not an unprimeable number, because it can be changed into a prime (256475909) 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, 37554 + ... + 43854.

It is an arithmetic number, because the mean of its divisors is an integer number (9660966).

Almost surely, 2^256475904 is an apocalyptic number.

256475904 is a gapful number since it is divisible by the number (24) 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 256475904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347794776).

256475904 is an abundant number, since it is smaller than the sum of its proper divisors (439113648).

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

256475904 is an equidigital number, since it uses as much as digits as its factorization.

256475904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6373 (or 6359 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 256475904 is about 16014.8650946550. The cubic root of 256475904 is about 635.3536410298.

The spelling of 256475904 in words is "two hundred fifty-six million, four hundred seventy-five thousand, nine hundred four".