315315420 has 96 divisors (see below), whose sum is σ = 1033675776. Its totient is φ = 70310400.

The previous prime is 315315419. The next prime is 315315421. The reversal of 315315420 is 24513513.

It is an interprime number because it is at equal distance from previous prime (315315419) and next prime (315315421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315315421) 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, 8065 + ... + 26375.

It is an arithmetic number, because the mean of its divisors is an integer number (10767456).

Almost surely, 2^315315420 is an apocalyptic number.

315315420 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 315315420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516837888).

315315420 is an abundant number, since it is smaller than the sum of its proper divisors (718360356).

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

315315420 is a wasteful number, since it uses less digits than its factorization.

315315420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18371 (or 18369 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 315315420 is about 17757.1230777961. The cubic root of 315315420 is about 680.6362413093.

Adding to 315315420 its reverse (24513513), we get a palindrome (339828933).

The spelling of 315315420 in words is "three hundred fifteen million, three hundred fifteen thousand, four hundred twenty".