315867552 has 384 divisors, whose sum is σ = 1178634240. Its totient is φ = 71331840.

The previous prime is 315867529. The next prime is 315867553. The reversal of 315867552 is 255768513.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (315867553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1825738 + ... + 1825910.

It is an arithmetic number, because the mean of its divisors is an integer number (3069360).

Almost surely, 2^315867552 is an apocalyptic number.

315867552 is a gapful number since it is divisible by the number (32) 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 315867552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589317120).

315867552 is an abundant number, since it is smaller than the sum of its proper divisors (862766688).

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

315867552 is a wasteful number, since it uses less digits than its factorization.

315867552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 228 counting only the distinct ones).

The product of its digits is 252000, while the sum is 42.

The square root of 315867552 is about 17772.6630531274. The cubic root of 315867552 is about 681.0332849151.

The spelling of 315867552 in words is "three hundred fifteen million, eight hundred sixty-seven thousand, five hundred fifty-two".