315455120 has 80 divisors (see below), whose sum is σ = 770522112. Its totient is φ = 119877120.

The previous prime is 315455089. The next prime is 315455141. The reversal of 315455120 is 21554513.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 315455120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317825 + ... + 318815.

Almost surely, 2^315455120 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 315455120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385261056).

315455120 is an abundant number, since it is smaller than the sum of its proper divisors (455066992).

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

315455120 is a wasteful number, since it uses less digits than its factorization.

315455120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 315455120 is about 17761.0562748954. The cubic root of 315455120 is about 680.7367447396.

The spelling of 315455120 in words is "three hundred fifteen million, four hundred fifty-five thousand, one hundred twenty".