256431528 has 64 divisors (see below), whose sum is σ = 719712000. Its totient is φ = 84589056.

The previous prime is 256431503. The next prime is 256431529. The reversal of 256431528 is 825134652.

256431528 is a `hidden beast` number, since 2 + 5 + 643 + 1 + 5 + 2 + 8 = 666.

256431528 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 256431492 and 256431501.

It is not an unprimeable number, because it can be changed into a prime (256431529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14833 + ... + 27071.

It is an arithmetic number, because the mean of its divisors is an integer number (11245500).

Almost surely, 2^256431528 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 256431528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359856000).

256431528 is an abundant number, since it is smaller than the sum of its proper divisors (463280472).

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

256431528 is a wasteful number, since it uses less digits than its factorization.

256431528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12351 (or 12341 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 256431528 is about 16013.4795719107. The cubic root of 256431528 is about 635.3169955087.

The spelling of 256431528 in words is "two hundred fifty-six million, four hundred thirty-one thousand, five hundred twenty-eight".