256742704 has 80 divisors (see below), whose sum is σ = 548589888. Its totient is φ = 115900416.

The previous prime is 256742699. The next prime is 256742719. The reversal of 256742704 is 407247652.

256742704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 976077 + ... + 976339.

Almost surely, 2^256742704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256742704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274294944).

256742704 is an abundant number, since it is smaller than the sum of its proper divisors (291847184).

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

256742704 is a wasteful number, since it uses less digits than its factorization.

256742704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 37.

The square root of 256742704 is about 16023.1926905970. The cubic root of 256742704 is about 635.5738743332.

It can be divided in two parts, 25674 and 2704, that multiplied together give a palindrome (69422496).

The spelling of 256742704 in words is "two hundred fifty-six million, seven hundred forty-two thousand, seven hundred four".