256615424 has 88 divisors (see below), whose sum is σ = 568460088. Its totient is φ = 115015680.

The previous prime is 256615423. The next prime is 256615451. The reversal of 256615424 is 424516652.

It can be written as a sum of positive squares in 4 ways, for example, as 24601600 + 232013824 = 4960^2 + 15232^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256615423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 492284 + ... + 492804.

Almost surely, 2^256615424 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 256615424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284230044).

256615424 is an abundant number, since it is smaller than the sum of its proper divisors (311844664).

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

256615424 is a wasteful number, since it uses less digits than its factorization.

256615424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 573 counting only the distinct ones).

The product of its digits is 57600, while the sum is 35.

The square root of 256615424 is about 16019.2204554404. The cubic root of 256615424 is about 635.4688285511.

The spelling of 256615424 in words is "two hundred fifty-six million, six hundred fifteen thousand, four hundred twenty-four".