315327000 has 128 divisors (see below), whose sum is σ = 995716800. Its totient is φ = 83072000.

The previous prime is 315326989. The next prime is 315327011. The reversal of 315327000 is 723513.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (315326989) and next prime (315327011).

It is a super-2 number, since 2×315327000² = 198862233858000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266410 + ... + 267590.

Almost surely, 2^315327000 is an apocalyptic number.

315327000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315327000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497858400).

315327000 is an abundant number, since it is smaller than the sum of its proper divisors (680389800).

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

315327000 is a wasteful number, since it uses less digits than its factorization.

315327000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 315327000 is about 17757.4491411351. The cubic root of 315327000 is about 680.6445733590.

The spelling of 315327000 in words is "three hundred fifteen million, three hundred twenty-seven thousand".