315740880 has 480 divisors, whose sum is σ = 1343247360. Its totient is φ = 64696320.

The previous prime is 315740857. The next prime is 315740891. The reversal of 315740880 is 88047513.

315740880 is a `hidden beast` number, since 3 + 1 + 574 + 0 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3996681 + ... + 3996759.

It is an arithmetic number, because the mean of its divisors is an integer number (2798432).

Almost surely, 2^315740880 is an apocalyptic number.

315740880 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 315740880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671623680).

315740880 is an abundant number, since it is smaller than the sum of its proper divisors (1027506480).

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

315740880 is a wasteful number, since it uses less digits than its factorization.

315740880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 315740880 is about 17769.0990204906. The cubic root of 315740880 is about 680.9422347452.

The spelling of 315740880 in words is "three hundred fifteen million, seven hundred forty thousand, eight hundred eighty".