315455840 has 96 divisors (see below), whose sum is σ = 863944704. Its totient is φ = 106606080.

The previous prime is 315455839. The next prime is 315455863. The reversal of 315455840 is 48554513.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 315455840.

It is a congruent number.

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, 77537 + ... + 81503.

It is an arithmetic number, because the mean of its divisors is an integer number (8999424).

Almost surely, 2^315455840 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 315455840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431972352).

315455840 is an abundant number, since it is smaller than the sum of its proper divisors (548488864).

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

315455840 is a wasteful number, since it uses less digits than its factorization.

315455840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4060 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The square root of 315455840 is about 17761.0765439486. The cubic root of 315455840 is about 680.7372626475.

The spelling of 315455840 in words is "three hundred fifteen million, four hundred fifty-five thousand, eight hundred forty".