314352900 has 135 divisors (see below), whose sum is σ = 1024206799. Its totient is φ = 83401920.

The previous prime is 314352893. The next prime is 314352917. The reversal of 314352900 is 9253413.

The square root of 314352900 is 17730.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 72488196 + 241864704 = 8514^2 + 15552^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1595602 + ... + 1595798.

Almost surely, 2^314352900 is an apocalyptic number.

314352900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

314352900 is the 17730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314352900

314352900 is an abundant number, since it is smaller than the sum of its proper divisors (709853899).

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

314352900 is a wasteful number, since it uses less digits than its factorization.

314352900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The cubic root of 314352900 is about 679.9429738799.

The spelling of 314352900 in words is "three hundred fourteen million, three hundred fifty-two thousand, nine hundred".