315057940 has 96 divisors (see below), whose sum is σ = 728136864. Its totient is φ = 114032640.

The previous prime is 315057937. The next prime is 315057949. The reversal of 315057940 is 49750513.

It can be written as a sum of positive squares in 16 ways, for example, as 156600196 + 158457744 = 12514^2 + 12588^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 315057896 and 315057905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315057949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1352064 + ... + 1352296.

It is an arithmetic number, because the mean of its divisors is an integer number (7584759).

Almost surely, 2^315057940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315057940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364068432).

315057940 is an abundant number, since it is smaller than the sum of its proper divisors (413078924).

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

315057940 is a wasteful number, since it uses less digits than its factorization.

315057940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 315057940 is about 17749.8715488310. The cubic root of 315057940 is about 680.4509264026.

The spelling of 315057940 in words is "three hundred fifteen million, fifty-seven thousand, nine hundred forty".