315028200 has 96 divisors (see below), whose sum is σ = 1008149760. Its totient is φ = 81292800.

The previous prime is 315028187. The next prime is 315028213. The reversal of 315028200 is 2820513.

It is an interprime number because it is at equal distance from previous prime (315028187) and next prime (315028213).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10132 + ... + 27068.

It is an arithmetic number, because the mean of its divisors is an integer number (10501560).

Almost surely, 2^315028200 is an apocalyptic number.

315028200 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 315028200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504074880).

315028200 is an abundant number, since it is smaller than the sum of its proper divisors (693121560).

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

315028200 is a wasteful number, since it uses less digits than its factorization.

315028200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16987 (or 16978 counting only the distinct ones).

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

The square root of 315028200 is about 17749.0337765187. The cubic root of 315028200 is about 680.4295152643.

Adding to 315028200 its reverse (2820513), we get a palindrome (317848713).

The spelling of 315028200 in words is "three hundred fifteen million, twenty-eight thousand, two hundred".