257597964 has 72 divisors (see below), whose sum is σ = 707589792. Its totient is φ = 78543360.

The previous prime is 257597939. The next prime is 257597969. The reversal of 257597964 is 469795752.

257597964 is a `hidden beast` number, since 2 + 575 + 9 + 7 + 9 + 64 = 666.

It is a super-2 number, since 2×257597964² = 132713422113890592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 257597964.

It is not an unprimeable number, because it can be changed into a prime (257597969) 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, 50449 + ... + 55319.

It is an arithmetic number, because the mean of its divisors is an integer number (9827636).

Almost surely, 2^257597964 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 257597964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353794896).

257597964 is an abundant number, since it is smaller than the sum of its proper divisors (449991828).

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

257597964 is a wasteful number, since it uses less digits than its factorization.

257597964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007 (or 5002 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The square root of 257597964 is about 16049.8586909667. The cubic root of 257597964 is about 636.2788322886.

The spelling of 257597964 in words is "two hundred fifty-seven million, five hundred ninety-seven thousand, nine hundred sixty-four".