256753278 has 72 divisors (see below), whose sum is σ = 617866704. Its totient is φ = 76644480.

The previous prime is 256753267. The next prime is 256753283. The reversal of 256753278 is 872357652.

256753278 is a `hidden beast` number, since 256 + 75 + 327 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1344163 + ... + 1344353.

It is an arithmetic number, because the mean of its divisors is an integer number (8581482).

Almost surely, 2^256753278 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256753278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308933352).

256753278 is an abundant number, since it is smaller than the sum of its proper divisors (361113426).

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

256753278 is a wasteful number, since it uses less digits than its factorization.

256753278 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 236 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 256753278 is about 16023.5226464096. The cubic root of 256753278 is about 635.5825996261.

The spelling of 256753278 in words is "two hundred fifty-six million, seven hundred fifty-three thousand, two hundred seventy-eight".