256584320 has 64 divisors (see below), whose sum is σ = 640103040. Its totient is φ = 98165760.

The previous prime is 256584299. The next prime is 256584347. The reversal of 256584320 is 23485652.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6005 + ... + 23435.

It is an arithmetic number, because the mean of its divisors is an integer number (10001610).

Almost surely, 2^256584320 is an apocalyptic number.

256584320 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 256584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320051520).

256584320 is an abundant number, since it is smaller than the sum of its proper divisors (383518720).

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

256584320 is a wasteful number, since it uses less digits than its factorization.

256584320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17473 (or 17461 counting only the distinct ones).

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

The square root of 256584320 is about 16018.2495922619. The cubic root of 256584320 is about 635.4431527483.

The spelling of 256584320 in words is "two hundred fifty-six million, five hundred eighty-four thousand, three hundred twenty".