314856900 has 54 divisors (see below), whose sum is σ = 986904282. Its totient is φ = 83961600.

The previous prime is 314856877. The next prime is 314856953. The reversal of 314856900 is 9658413.

It can be written as a sum of positive squares in 3 ways, for example, as 7064964 + 307791936 = 2658^2 + 17544^2 .

It is a super-3 number, since 3×314856900³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 174021 + ... + 175820.

Almost surely, 2^314856900 is an apocalyptic number.

314856900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314856900 is an abundant number, since it is smaller than the sum of its proper divisors (672047382).

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

314856900 is a wasteful number, since it uses less digits than its factorization.

314856900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349861 (or 349851 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 314856900 is about 17744.2075055495. The cubic root of 314856900 is about 680.3061625943.

The spelling of 314856900 in words is "three hundred fourteen million, eight hundred fifty-six thousand, nine hundred".