315426672 has 180 divisors, whose sum is σ = 995226232. Its totient is φ = 93139200.

The previous prime is 315426667. The next prime is 315426677. The reversal of 315426672 is 276624513.

It is an interprime number because it is at equal distance from previous prime (315426667) and next prime (315426677).

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

Its product of digits (60480) is a multiple of the sum of its prime divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315426677) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 749022 + ... + 749442.

Almost surely, 2^315426672 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 315426672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497613116).

315426672 is an abundant number, since it is smaller than the sum of its proper divisors (679799560).

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

315426672 is a wasteful number, since it uses less digits than its factorization.

315426672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 480 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 315426672 is about 17760.2554035689. The cubic root of 315426672 is about 680.7162809928.

The spelling of 315426672 in words is "three hundred fifteen million, four hundred twenty-six thousand, six hundred seventy-two".