313346880 has 560 divisors, whose sum is σ = 1398519936. Its totient is φ = 64696320.

The previous prime is 313346863. The next prime is 313346893. The reversal of 313346880 is 88643313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1995762 + ... + 1995918.

Almost surely, 2^313346880 is an apocalyptic number.

313346880 is a gapful number since it is divisible by the number (30) 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 313346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699259968).

313346880 is an abundant number, since it is smaller than the sum of its proper divisors (1085173056).

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

313346880 is a wasteful number, since it uses less digits than its factorization.

313346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 313346880 is about 17701.6067067371. The cubic root of 313346880 is about 679.2168608233.

The spelling of 313346880 in words is "three hundred thirteen million, three hundred forty-six thousand, eight hundred eighty".