315440400 has 240 divisors, whose sum is σ = 1151354880. Its totient is φ = 73075200.

The previous prime is 315440383. The next prime is 315440417. The reversal of 315440400 is 4044513.

It is an interprime number because it is at equal distance from previous prime (315440383) and next prime (315440417).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303081 + ... + 304119.

It is an arithmetic number, because the mean of its divisors is an integer number (4797312).

Almost surely, 2^315440400 is an apocalyptic number.

315440400 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 315440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575677440).

315440400 is an abundant number, since it is smaller than the sum of its proper divisors (835914480).

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

315440400 is a wasteful number, since it uses less digits than its factorization.

315440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 315440400 is about 17760.6418802925. The cubic root of 315440400 is about 680.7261562278.

Adding to 315440400 its reverse (4044513), we get a palindrome (319484913).

The spelling of 315440400 in words is "three hundred fifteen million, four hundred forty thousand, four hundred".