314663040 has 96 divisors (see below), whose sum is σ = 1086590700. Its totient is φ = 83908608.

The previous prime is 314663039. The next prime is 314663093. The reversal of 314663040 is 40366413.

It can be written as a sum of positive squares in 2 ways, for example, as 314565696 + 97344 = 17736^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 314662995 and 314663013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21555 + ... + 33074.

Almost surely, 2^314663040 is an apocalyptic number.

314663040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314663040 is an abundant number, since it is smaller than the sum of its proper divisors (771927660).

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

314663040 is a wasteful number, since it uses less digits than its factorization.

314663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54654 (or 54639 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 314663040 is about 17738.7440367124. The cubic root of 314663040 is about 680.1665105499.

The spelling of 314663040 in words is "three hundred fourteen million, six hundred sixty-three thousand, forty".