257415972 has 48 divisors (see below), whose sum is σ = 693790272. Its totient is φ = 73415680.

The previous prime is 257415959. The next prime is 257416007. The reversal of 257415972 is 279514752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55113 + ... + 59600.

It is an arithmetic number, because the mean of its divisors is an integer number (14453964).

Almost surely, 2^257415972 is an apocalyptic number.

257415972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

257415972 is an abundant number, since it is smaller than the sum of its proper divisors (436374300).

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

257415972 is a wasteful number, since it uses less digits than its factorization.

257415972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114748 (or 114746 counting only the distinct ones).

The product of its digits is 176400, while the sum is 42.

The square root of 257415972 is about 16044.1881066011. The cubic root of 257415972 is about 636.1289541136.

It can be divided in two parts, 25741 and 5972, that added together give a palindrome (31713).

The spelling of 257415972 in words is "two hundred fifty-seven million, four hundred fifteen thousand, nine hundred seventy-two".