315104400 has 180 divisors, whose sum is σ = 1177790068. Its totient is φ = 77552640.

The previous prime is 315104329. The next prime is 315104443. The reversal of 315104400 is 4401513.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 112896 + 314991504 = 336^2 + 17748^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43434 + ... + 50166.

Almost surely, 2^315104400 is an apocalyptic number.

315104400 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 315104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588895034).

315104400 is an abundant number, since it is smaller than the sum of its proper divisors (862685668).

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

315104400 is a wasteful number, since it uses less digits than its factorization.

315104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6770 (or 6756 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 315104400 is about 17751.1802424515. The cubic root of 315104400 is about 680.4843723101.

Adding to 315104400 its reverse (4401513), we get a palindrome (319505913).

The spelling of 315104400 in words is "three hundred fifteen million, one hundred four thousand, four hundred".