314409957 has 16 divisors (see below), whose sum is σ = 424120128. Its totient is φ = 207164160.

The previous prime is 314409943. The next prime is 314409959. The reversal of 314409957 is 759904413.

It is not a de Polignac number, because 314409957 - 2²⁰ = 313361381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314409959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141618 + ... + 143820.

It is an arithmetic number, because the mean of its divisors is an integer number (26507508).

Almost surely, 2^314409957 is an apocalyptic number.

It is an amenable number.

314409957 is a deficient number, since it is larger than the sum of its proper divisors (109710171).

314409957 is a wasteful number, since it uses less digits than its factorization.

314409957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740.

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 314409957 is about 17731.6089794468. The cubic root of 314409957 is about 679.9841093461.

The spelling of 314409957 in words is "three hundred fourteen million, four hundred nine thousand, nine hundred fifty-seven".