256792704 has 128 divisors (see below), whose sum is σ = 789626880. Its totient is φ = 72422400.

The previous prime is 256792703. The next prime is 256792741. The reversal of 256792704 is 407297652.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (256792703) 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, 222529 + ... + 223679.

It is an arithmetic number, because the mean of its divisors is an integer number (6168960).

Almost surely, 2^256792704 is an apocalyptic number.

256792704 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 256792704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394813440).

256792704 is an abundant number, since it is smaller than the sum of its proper divisors (532834176).

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

256792704 is a wasteful number, since it uses less digits than its factorization.

256792704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 256792704 is about 16024.7528530084. The cubic root of 256792704 is about 635.6151304631.

The spelling of 256792704 in words is "two hundred fifty-six million, seven hundred ninety-two thousand, seven hundred four".