315311820 has 96 divisors (see below), whose sum is σ = 902016192. Its totient is φ = 82280448.

The previous prime is 315311813. The next prime is 315311827. The reversal of 315311820 is 28113513.

It is an interprime number because it is at equal distance from previous prime (315311813) and next prime (315311827).

It is not an unprimeable number, because it can be changed into a prime (315311827) 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, 845154 + ... + 845526.

It is an arithmetic number, because the mean of its divisors is an integer number (9396002).

Almost surely, 2^315311820 is an apocalyptic number.

315311820 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 315311820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451008096).

315311820 is an abundant number, since it is smaller than the sum of its proper divisors (586704372).

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

315311820 is a wasteful number, since it uses less digits than its factorization.

315311820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 315311820 is about 17757.0217097350. The cubic root of 315311820 is about 680.6336509933.

The spelling of 315311820 in words is "three hundred fifteen million, three hundred eleven thousand, eight hundred twenty".