256428704 has 48 divisors (see below), whose sum is σ = 579600000. Its totient is φ = 109396224.

The previous prime is 256428703. The next prime is 256428727. The reversal of 256428704 is 407824652.

It is not an unprimeable number, because it can be changed into a prime (256428703) 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, 48797 + ... + 53795.

It is an arithmetic number, because the mean of its divisors is an integer number (12075000).

Almost surely, 2^256428704 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 256428704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289800000).

256428704 is an abundant number, since it is smaller than the sum of its proper divisors (323171296).

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

256428704 is a wasteful number, since it uses less digits than its factorization.

256428704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5245 (or 5237 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 256428704 is about 16013.3913959536. The cubic root of 256428704 is about 635.3146633179.

The spelling of 256428704 in words is "two hundred fifty-six million, four hundred twenty-eight thousand, seven hundred four".