257447952 has 60 divisors (see below), whose sum is σ = 735845760. Its totient is φ = 83987904.

The previous prime is 257447941. The next prime is 257447987. The reversal of 257447952 is 259744752.

257447952 is a `hidden beast` number, since 2 + 574 + 4 + 79 + 5 + 2 = 666.

It is a super-3 number, since 3×257447952³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257447898 and 257447907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12252 + ... + 25787.

It is an arithmetic number, because the mean of its divisors is an integer number (12264096).

Almost surely, 2^257447952 is an apocalyptic number.

It is an amenable number.

257447952 is an abundant number, since it is smaller than the sum of its proper divisors (478397808).

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

257447952 is a wasteful number, since it uses less digits than its factorization.

257447952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38100 (or 38091 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 257447952 is about 16045.1846982202. The cubic root of 257447952 is about 636.1552961226.

The spelling of 257447952 in words is "two hundred fifty-seven million, four hundred forty-seven thousand, nine hundred fifty-two".