257976930 has 48 divisors (see below), whose sum is σ = 629733312. Its totient is φ = 67636800.

The previous prime is 257976923. The next prime is 257976931. The reversal of 257976930 is 39679752.

It is a self number, because there is not a number n which added to its sum of digits gives 257976930.

It is not an unprimeable number, because it can be changed into a prime (257976931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110475 + ... + 112785.

It is an arithmetic number, because the mean of its divisors is an integer number (13119444).

Almost surely, 2^257976930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257976930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314866656).

257976930 is an abundant number, since it is smaller than the sum of its proper divisors (371756382).

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

257976930 is a wasteful number, since it uses less digits than its factorization.

257976930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 48.

The square root of 257976930 is about 16061.6602504224. The cubic root of 257976930 is about 636.5907005598.

The spelling of 257976930 in words is "two hundred fifty-seven million, nine hundred seventy-six thousand, nine hundred thirty".