314564040 has 128 divisors (see below), whose sum is σ = 1198368000. Its totient is φ = 71898624.

The previous prime is 314564021. The next prime is 314564051. The reversal of 314564040 is 40465413.

314564040 is a `hidden beast` number, since 3 + 14 + 5 + 640 + 4 + 0 = 666.

It is a super-2 number, since 2×314564040² = 197901070522243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 314563995 and 314564013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13245 + ... + 28364.

It is an arithmetic number, because the mean of its divisors is an integer number (9362250).

Almost surely, 2^314564040 is an apocalyptic number.

314564040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314564040 is an abundant number, since it is smaller than the sum of its proper divisors (883803960).

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

314564040 is a wasteful number, since it uses less digits than its factorization.

314564040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41636 (or 41626 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 314564040 is about 17735.9533152295. The cubic root of 314564040 is about 680.0951712238.

The spelling of 314564040 in words is "three hundred fourteen million, five hundred sixty-four thousand, forty".