256717104 has 80 divisors (see below), whose sum is σ = 760903680. Its totient is φ = 73059840.

The previous prime is 256717093. The next prime is 256717147. The reversal of 256717104 is 401717652.

It is a super-2 number, since 2×256717104² = 131807342972293632, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93057 + ... + 95775.

It is an arithmetic number, because the mean of its divisors is an integer number (9511296).

Almost surely, 2^256717104 is an apocalyptic number.

256717104 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 256717104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380451840).

256717104 is an abundant number, since it is smaller than the sum of its proper divisors (504186576).

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

256717104 is a wasteful number, since it uses less digits than its factorization.

256717104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 256717104 is about 16022.3938286387. The cubic root of 256717104 is about 635.5527491214.

The spelling of 256717104 in words is "two hundred fifty-six million, seven hundred seventeen thousand, one hundred four".