315062400 has 192 divisors, whose sum is σ = 1066985280. Its totient is φ = 81653760.

The previous prime is 315062359. The next prime is 315062401. The reversal of 315062400 is 4260513.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (315062401) 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, 354757 + ... + 355643.

It is an arithmetic number, because the mean of its divisors is an integer number (5557215).

Almost surely, 2^315062400 is an apocalyptic number.

315062400 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 315062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533492640).

315062400 is an abundant number, since it is smaller than the sum of its proper divisors (751922880).

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

315062400 is a wasteful number, since it uses less digits than its factorization.

315062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 315062400 is about 17749.9971830984. The cubic root of 315062400 is about 680.4541372372.

The spelling of 315062400 in words is "three hundred fifteen million, sixty-two thousand, four hundred".