313884880 has 40 divisors (see below), whose sum is σ = 731040264. Its totient is φ = 125337600.

The previous prime is 313884877. The next prime is 313884881. The reversal of 313884880 is 88488313.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34058896 + 279825984 = 5836^2 + 16728^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×313884880² = 197047435785228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313884881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48220 + ... + 54340.

Almost surely, 2^313884880 is an apocalyptic number.

It is an amenable number.

313884880 is an abundant number, since it is smaller than the sum of its proper divisors (417155384).

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

313884880 is a wasteful number, since it uses less digits than its factorization.

313884880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6775 (or 6769 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 313884880 is about 17716.7965501667. The cubic root of 313884880 is about 679.6053650220.

The spelling of 313884880 in words is "three hundred thirteen million, eight hundred eighty-four thousand, eight hundred eighty".