315342720 has 640 divisors, whose sum is σ = 1421798400. Its totient is φ = 64696320.

The previous prime is 315342697. The next prime is 315342751. The reversal of 315342720 is 27243513.

315342720 is a `hidden beast` number, since 315 + 342 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3991641 + ... + 3991719.

It is an arithmetic number, because the mean of its divisors is an integer number (2221560).

Almost surely, 2^315342720 is an apocalyptic number.

315342720 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 315342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710899200).

315342720 is an abundant number, since it is smaller than the sum of its proper divisors (1106455680).

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

315342720 is a wasteful number, since it uses less digits than its factorization.

315342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 315342720 is about 17757.8917667611. The cubic root of 315342720 is about 680.6558838979.

The spelling of 315342720 in words is "three hundred fifteen million, three hundred forty-two thousand, seven hundred twenty".