315459120 has 80 divisors (see below), whose sum is σ = 980294400. Its totient is φ = 83918592.

The previous prime is 315459101. The next prime is 315459139. The reversal of 315459120 is 21954513.

It is an interprime number because it is at equal distance from previous prime (315459101) and next prime (315459139).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 115531 + ... + 118229.

It is an arithmetic number, because the mean of its divisors is an integer number (12253680).

Almost surely, 2^315459120 is an apocalyptic number.

315459120 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 315459120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490147200).

315459120 is an abundant number, since it is smaller than the sum of its proper divisors (664835280).

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

315459120 is a wasteful number, since it uses less digits than its factorization.

315459120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 315459120 is about 17761.1688804538. The cubic root of 315459120 is about 680.7396219957.

The spelling of 315459120 in words is "three hundred fifteen million, four hundred fifty-nine thousand, one hundred twenty".