257312952 has 192 divisors, whose sum is σ = 807468480. Its totient is φ = 73322496.

The previous prime is 257312947. The next prime is 257312963. The reversal of 257312952 is 259213752.

257312952 is a `hidden beast` number, since 257 + 312 + 95 + 2 = 666.

257312952 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 (36).

It is a congruent number.

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, 1638858 + ... + 1639014.

It is an arithmetic number, because the mean of its divisors is an integer number (4205565).

Almost surely, 2^257312952 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 257312952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403734240).

257312952 is an abundant number, since it is smaller than the sum of its proper divisors (550155528).

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

257312952 is a wasteful number, since it uses less digits than its factorization.

257312952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 295 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 257312952 is about 16040.9772769617. The cubic root of 257312952 is about 636.0440814350.

The spelling of 257312952 in words is "two hundred fifty-seven million, three hundred twelve thousand, nine hundred fifty-two".