256301580 has 48 divisors (see below), whose sum is σ = 721969920. Its totient is φ = 67935168.

The previous prime is 256301579. The next prime is 256301603. The reversal of 256301580 is 85103652.

256301580 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2770 + ... + 22809.

It is an arithmetic number, because the mean of its divisors is an integer number (15041040).

Almost surely, 2^256301580 is an apocalyptic number.

256301580 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 256301580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360984960).

256301580 is an abundant number, since it is smaller than the sum of its proper divisors (465668340).

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

256301580 is a wasteful number, since it uses less digits than its factorization.

256301580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25758 (or 25756 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 256301580 is about 16009.4216010448. The cubic root of 256301580 is about 635.2096606540.

The spelling of 256301580 in words is "two hundred fifty-six million, three hundred one thousand, five hundred eighty".