315084000 has 576 divisors, whose sum is σ = 1338494976. Its totient is φ = 63360000.

The previous prime is 315083983. The next prime is 315084017. The reversal of 315084000 is 480513.

It is an interprime number because it is at equal distance from previous prime (315083983) and next prime (315084017).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10163985 + ... + 10164015.

It is an arithmetic number, because the mean of its divisors is an integer number (2323776).

Almost surely, 2^315084000 is an apocalyptic number.

315084000 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 315084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669247488).

315084000 is an abundant number, since it is smaller than the sum of its proper divisors (1023410976).

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

315084000 is a wasteful number, since it uses less digits than its factorization.

315084000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 315084000 is about 17750.6056234710. The cubic root of 315084000 is about 680.4696870389.

The spelling of 315084000 in words is "three hundred fifteen million, eighty-four thousand".