256757130 has 96 divisors (see below), whose sum is σ = 770140800. Its totient is φ = 58133376.

The previous prime is 256757029. The next prime is 256757143. The reversal of 256757130 is 31757652.

256757130 is a `hidden beast` number, since 2 + 56 + 7 + 571 + 30 = 666.

256757130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66801 + ... + 70539.

It is an arithmetic number, because the mean of its divisors is an integer number (8022300).

Almost surely, 2^256757130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256757130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385070400).

256757130 is an abundant number, since it is smaller than the sum of its proper divisors (513383670).

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

256757130 is a wasteful number, since it uses less digits than its factorization.

256757130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3868 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 256757130 is about 16023.6428442474. The cubic root of 256757130 is about 635.5857781015.

The spelling of 256757130 in words is "two hundred fifty-six million, seven hundred fifty-seven thousand, one hundred thirty".