313663440 has 80 divisors (see below), whose sum is σ = 976026816. Its totient is φ = 83328000.

The previous prime is 313663439. The next prime is 313663453. The reversal of 313663440 is 44366313.

313663440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 313663398 and 313663407.

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, 65115 + ... + 69765.

Almost surely, 2^313663440 is an apocalyptic number.

313663440 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 313663440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488013408).

313663440 is an abundant number, since it is smaller than the sum of its proper divisors (662363376).

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

313663440 is a wasteful number, since it uses less digits than its factorization.

313663440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4948 (or 4942 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 313663440 is about 17710.5460107813. The cubic root of 313663440 is about 679.4455110699.

The spelling of 313663440 in words is "three hundred thirteen million, six hundred sixty-three thousand, four hundred forty".