315376740 has 360 divisors, whose sum is σ = 1199250360. Its totient is φ = 69092352.

The previous prime is 315376681. The next prime is 315376757. The reversal of 315376740 is 47673513.

It can be written as a sum of positive squares in 4 ways, for example, as 42928704 + 272448036 = 6552^2 + 16506^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 315376695 and 315376704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2301952 + ... + 2302088.

It is an arithmetic number, because the mean of its divisors is an integer number (3331251).

Almost surely, 2^315376740 is an apocalyptic number.

315376740 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 315376740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599625180).

315376740 is an abundant number, since it is smaller than the sum of its proper divisors (883873620).

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

315376740 is a wasteful number, since it uses less digits than its factorization.

315376740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 315376740 is about 17758.8496249053. The cubic root of 315376740 is about 680.6803599986.

The spelling of 315376740 in words is "three hundred fifteen million, three hundred seventy-six thousand, seven hundred forty".