315452032 has 128 divisors (see below), whose sum is σ = 762209280. Its totient is φ = 127180800.

The previous prime is 315451979. The next prime is 315452057. The reversal of 315452032 is 230254513.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 315451988 and 315452006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1138678 + ... + 1138954.

It is an arithmetic number, because the mean of its divisors is an integer number (5954760).

Almost surely, 2^315452032 is an apocalyptic number.

315452032 is a gapful number since it is divisible by the number (32) 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 315452032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381104640).

315452032 is an abundant number, since it is smaller than the sum of its proper divisors (446757248).

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

315452032 is a wasteful number, since it uses less digits than its factorization.

315452032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 315452032 is about 17760.9693429159. The cubic root of 315452032 is about 680.7345234813.

The spelling of 315452032 in words is "three hundred fifteen million, four hundred fifty-two thousand, thirty-two".