315050400 has 648 divisors, whose sum is σ = 1389286080. Its totient is φ = 66769920.

The previous prime is 315050399. The next prime is 315050401. The reversal of 315050400 is 4050513.

It is an interprime number because it is at equal distance from previous prime (315050399) and next prime (315050401).

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

It is not an unprimeable number, because it can be changed into a prime (315050401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6703177 + ... + 6703223.

It is an arithmetic number, because the mean of its divisors is an integer number (2143960).

Almost surely, 2^315050400 is an apocalyptic number.

315050400 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 315050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694643040).

315050400 is an abundant number, since it is smaller than the sum of its proper divisors (1074235680).

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

315050400 is a wasteful number, since it uses less digits than its factorization.

315050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 315050400 is about 17749.6591516570. The cubic root of 315050400 is about 680.4454981514.

It can be divided in two parts, 3150 and 50400, that multiplied together give a square (158760000 = 12600²).

The spelling of 315050400 in words is "three hundred fifteen million, fifty thousand, four hundred".