315481400 has 96 divisors (see below), whose sum is σ = 801511200. Its totient is φ = 114777600.

The previous prime is 315481391. The next prime is 315481403. The reversal of 315481400 is 4184513.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 315481400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315481403) 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, 183746 + ... + 185454.

It is an arithmetic number, because the mean of its divisors is an integer number (8349075).

Almost surely, 2^315481400 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 315481400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400755600).

315481400 is an abundant number, since it is smaller than the sum of its proper divisors (486029800).

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

315481400 is a wasteful number, since it uses less digits than its factorization.

315481400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 315481400 is about 17761.7960803518. The cubic root of 315481400 is about 680.7556478669.

The spelling of 315481400 in words is "three hundred fifteen million, four hundred eighty-one thousand, four hundred".