313903980 has 216 divisors, whose sum is σ = 1093502592. Its totient is φ = 72603648.

The previous prime is 313903973. The next prime is 313903981. The reversal of 313903980 is 89309313.

It is a super-3 number, since 3×313903980³ (a number of 26 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (313903981) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 516837 + ... + 517443.

It is an arithmetic number, because the mean of its divisors is an integer number (5062512).

Almost surely, 2^313903980 is an apocalyptic number.

313903980 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 313903980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546751296).

313903980 is an abundant number, since it is smaller than the sum of its proper divisors (779598612).

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

313903980 is a wasteful number, since it uses less digits than its factorization.

313903980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 313903980 is about 17717.3355784666. The cubic root of 313903980 is about 679.6191494803.

The spelling of 313903980 in words is "three hundred thirteen million, nine hundred three thousand, nine hundred eighty".