257948964 has 144 divisors (see below), whose sum is σ = 814544640. Its totient is φ = 67011840.

The previous prime is 257948947. The next prime is 257948981. The reversal of 257948964 is 469849752.

257948964 is a `hidden beast` number, since 2 + 579 + 4 + 8 + 9 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (257948947) and next prime (257948981).

It is a self number, because there is not a number n which added to its sum of digits gives 257948964.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232042 + ... + 233150.

It is an arithmetic number, because the mean of its divisors is an integer number (5656560).

Almost surely, 2^257948964 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 257948964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407272320).

257948964 is an abundant number, since it is smaller than the sum of its proper divisors (556595676).

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

257948964 is a wasteful number, since it uses less digits than its factorization.

257948964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1205 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 257948964 is about 16060.7896443481. The cubic root of 257948964 is about 636.5676965146.

The spelling of 257948964 in words is "two hundred fifty-seven million, nine hundred forty-eight thousand, nine hundred sixty-four".