256423520 has 48 divisors (see below), whose sum is σ = 613131120. Its totient is φ = 101328384.

The previous prime is 256423501. The next prime is 256423561. The reversal of 256423520 is 25324652.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3626 + ... + 22934.

It is an arithmetic number, because the mean of its divisors is an integer number (12773565).

Almost surely, 2^256423520 is an apocalyptic number.

256423520 is a gapful number since it is divisible by the number (20) 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 256423520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306565560).

256423520 is an abundant number, since it is smaller than the sum of its proper divisors (356707600).

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

256423520 is a wasteful number, since it uses less digits than its factorization.

256423520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19407 (or 19399 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 256423520 is about 16013.2295306100. The cubic root of 256423520 is about 635.3103820845.

The spelling of 256423520 in words is "two hundred fifty-six million, four hundred twenty-three thousand, five hundred twenty".