256353064 has 64 divisors (see below), whose sum is σ = 557928000. Its totient is φ = 109132800.

The previous prime is 256353059. The next prime is 256353089. The reversal of 256353064 is 460353652.

256353064 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 (34).

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, 521859 + ... + 522349.

It is an arithmetic number, because the mean of its divisors is an integer number (8717625).

Almost surely, 2^256353064 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 256353064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278964000).

256353064 is an abundant number, since it is smaller than the sum of its proper divisors (301574936).

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

256353064 is a wasteful number, since it uses less digits than its factorization.

256353064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

The square root of 256353064 is about 16011.0294484771. The cubic root of 256353064 is about 635.2521899076.

The spelling of 256353064 in words is "two hundred fifty-six million, three hundred fifty-three thousand, sixty-four".