257072814 has 12 divisors (see below), whose sum is σ = 556991136. Its totient is φ = 85690932.

The previous prime is 257072773. The next prime is 257072833. The reversal of 257072814 is 418270752.

257072814 is a `hidden beast` number, since 2 + 570 + 7 + 2 + 81 + 4 = 666.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 7140894 + ... + 7140929.

It is an arithmetic number, because the mean of its divisors is an integer number (46415928).

Almost surely, 2^257072814 is an apocalyptic number.

257072814 is an abundant number, since it is smaller than the sum of its proper divisors (299918322).

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

257072814 is a wasteful number, since it uses less digits than its factorization.

257072814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14281831 (or 14281828 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 257072814 is about 16033.4903873112. The cubic root of 257072814 is about 635.8461565714.

The spelling of 257072814 in words is "two hundred fifty-seven million, seventy-two thousand, eight hundred fourteen".