313878264 has 64 divisors (see below), whose sum is σ = 902807040. Its totient is φ = 89078400.

The previous prime is 313878239. The next prime is 313878269. The reversal of 313878264 is 462878313.

It is a super-2 number, since 2×313878264² = 197039129223307392, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313878269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19182 + ... + 31554.

It is an arithmetic number, because the mean of its divisors is an integer number (14106360).

Almost surely, 2^313878264 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 313878264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451403520).

313878264 is an abundant number, since it is smaller than the sum of its proper divisors (588928776).

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

313878264 is a wasteful number, since it uses less digits than its factorization.

313878264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12540 (or 12536 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 313878264 is about 17716.6098337125. The cubic root of 313878264 is about 679.6005901284.

The spelling of 313878264 in words is "three hundred thirteen million, eight hundred seventy-eight thousand, two hundred sixty-four".