256730584 has 64 divisors (see below), whose sum is σ = 555984000. Its totient is φ = 109912320.

The previous prime is 256730563. The next prime is 256730611. The reversal of 256730584 is 485037652.

256730584 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 389247 + ... + 389905.

It is an arithmetic number, because the mean of its divisors is an integer number (8687250).

Almost surely, 2^256730584 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 256730584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277992000).

256730584 is an abundant number, since it is smaller than the sum of its proper divisors (299253416).

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

256730584 is a wasteful number, since it uses less digits than its factorization.

256730584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 256730584 is about 16022.8144843532. The cubic root of 256730584 is about 635.5638730408.

The spelling of 256730584 in words is "two hundred fifty-six million, seven hundred thirty thousand, five hundred eighty-four".