315364896 has 144 divisors (see below), whose sum is σ = 1118190528. Its totient is φ = 81907200.

The previous prime is 315364873. The next prime is 315364901. The reversal of 315364896 is 698463513.

315364896 is a `hidden beast` number, since 31 + 536 + 4 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15066 + ... + 29286.

It is an arithmetic number, because the mean of its divisors is an integer number (7765212).

Almost surely, 2^315364896 is an apocalyptic number.

315364896 is a gapful number since it is divisible by the number (36) 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 315364896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559095264).

315364896 is an abundant number, since it is smaller than the sum of its proper divisors (802825632).

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

315364896 is a wasteful number, since it uses less digits than its factorization.

315364896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14255 (or 14244 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 315364896 is about 17758.5161542287. The cubic root of 315364896 is about 680.6718388892.

The spelling of 315364896 in words is "three hundred fifteen million, three hundred sixty-four thousand, eight hundred ninety-six".