315491400 has 360 divisors, whose sum is σ = 1252971330. Its totient is φ = 71124480.

The previous prime is 315491399. The next prime is 315491431. The reversal of 315491400 is 4194513.

It can be written as a sum of positive squares in 3 ways, for example, as 242798724 + 72692676 = 15582^2 + 8526^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 4321764 + ... + 4321836.

Almost surely, 2^315491400 is an apocalyptic number.

315491400 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 315491400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626485665).

315491400 is an abundant number, since it is smaller than the sum of its proper divisors (937479930).

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

315491400 is a wasteful number, since it uses less digits than its factorization.

315491400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 315491400 is about 17762.0775811840. The cubic root of 315491400 is about 680.7628405620.

The spelling of 315491400 in words is "three hundred fifteen million, four hundred ninety-one thousand, four hundred".