318809952 has 96 divisors (see below), whose sum is σ = 959938560. Its totient is φ = 102833280.

The previous prime is 318809929. The next prime is 318809989. The reversal of 318809952 is 259908813.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 318809898 and 318809907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20833 + ... + 32735.

It is an arithmetic number, because the mean of its divisors is an integer number (9999360).

Almost surely, 2^318809952 is an apocalyptic number.

318809952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

318809952 is the 8928-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318809952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479969280).

318809952 is an abundant number, since it is smaller than the sum of its proper divisors (641128608).

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

318809952 is a wasteful number, since it uses less digits than its factorization.

318809952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11953 (or 11939 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 318809952 is about 17855.2499842483. The cubic root of 318809952 is about 683.1414281389.

The spelling of 318809952 in words is "three hundred eighteen million, eight hundred nine thousand, nine hundred fifty-two".