315473200 has 120 divisors (see below), whose sum is σ = 871388672. Its totient is φ = 107516160.

The previous prime is 315473189. The next prime is 315473203. The reversal of 315473200 is 2374513.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315473203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 859417 + ... + 859783.

Almost surely, 2^315473200 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 315473200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435694336).

315473200 is an abundant number, since it is smaller than the sum of its proper divisors (555915472).

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

315473200 is a wasteful number, since it uses less digits than its factorization.

315473200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 315473200 is about 17761.5652463402. The cubic root of 315473200 is about 680.7497497435.

The spelling of 315473200 in words is "three hundred fifteen million, four hundred seventy-three thousand, two hundred".