256064004 has 135 divisors (see below), whose sum is σ = 784871703. Its totient is φ = 72585072.

The previous prime is 256063981. The next prime is 256064033. The reversal of 256064004 is 400460652.

It is a happy number.

The square root of 256064004 is 16002.

It is a perfect power (a square), and thus also a powerful number.

256064004 is a `hidden beast` number, since 256 + 0 + 6 + 400 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2016189 + ... + 2016315.

Almost surely, 2^256064004 is an apocalyptic number.

256064004 is the 16002-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256064004

256064004 is an abundant number, since it is smaller than the sum of its proper divisors (528807699).

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

256064004 is a wasteful number, since it uses less digits than its factorization.

256064004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The cubic root of 256064004 is about 635.0133330534.

It can be divided in two parts, 2560 and 64004, that added together give a square (66564 = 258²).

The spelling of 256064004 in words is "two hundred fifty-six million, sixty-four thousand, four".