256815360 has 180 divisors, whose sum is σ = 919303308. Its totient is φ = 68456448.

The previous prime is 256815347. The next prime is 256815373. The reversal of 256815360 is 63518652.

It is an interprime number because it is at equal distance from previous prime (256815347) and next prime (256815373).

It can be written as a sum of positive squares in 2 ways, for example, as 110502144 + 146313216 = 10512^2 + 12096^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102442 + ... + 104918.

Almost surely, 2^256815360 is an apocalyptic number.

256815360 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 256815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459651654).

256815360 is an abundant number, since it is smaller than the sum of its proper divisors (662487948).

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

256815360 is an equidigital number, since it uses as much as digits as its factorization.

256815360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 256815360 is about 16025.4597437952. The cubic root of 256815360 is about 635.6338226775.

The spelling of 256815360 in words is "two hundred fifty-six million, eight hundred fifteen thousand, three hundred sixty".