256376320 has 160 divisors (see below), whose sum is σ = 670858848. Its totient is φ = 93585408.

The previous prime is 256376311. The next prime is 256376347. The reversal of 256376320 is 23673652.

256376320 = T₄₄₅ + T₄₄₆ + ... + T₁₁₇₅.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1871292 + ... + 1871428.

Almost surely, 2^256376320 is an apocalyptic number.

256376320 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 256376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335429424).

256376320 is an abundant number, since it is smaller than the sum of its proper divisors (414482528).

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

256376320 is a wasteful number, since it uses less digits than its factorization.

256376320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 34.

The square root of 256376320 is about 16011.7556813736. The cubic root of 256376320 is about 635.2713990639.

The spelling of 256376320 in words is "two hundred fifty-six million, three hundred seventy-six thousand, three hundred twenty".