315233120 has 48 divisors (see below), whose sum is σ = 752150448. Its totient is φ = 124838400.

The previous prime is 315233119. The next prime is 315233131. The reversal of 315233120 is 21332513.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 315233092 and 315233101.

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 7 ways as a sum of consecutive naturals, for example, 6407 + ... + 25913.

It is an arithmetic number, because the mean of its divisors is an integer number (15669801).

Almost surely, 2^315233120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376075224).

315233120 is an abundant number, since it is smaller than the sum of its proper divisors (436917328).

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

315233120 is a wasteful number, since it uses less digits than its factorization.

315233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19623 (or 19615 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 315233120 is about 17754.8055466682. The cubic root of 315233120 is about 680.5770188785.

Adding to 315233120 its reverse (21332513), we get a palindrome (336565633).

It can be divided in two parts, 31523 and 3120, that added together give a palindrome (34643).

The spelling of 315233120 in words is "three hundred fifteen million, two hundred thirty-three thousand, one hundred twenty".