313459920 has 240 divisors, whose sum is σ = 1100286720. Its totient is φ = 79911936.

The previous prime is 313459903. The next prime is 313459931. The reversal of 313459920 is 29954313.

It is a happy number.

313459920 is a `hidden beast` number, since 31 + 34 + 599 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 1996482 + ... + 1996638.

It is an arithmetic number, because the mean of its divisors is an integer number (4584528).

Almost surely, 2^313459920 is an apocalyptic number.

313459920 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 313459920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550143360).

313459920 is an abundant number, since it is smaller than the sum of its proper divisors (786826800).

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

313459920 is a wasteful number, since it uses less digits than its factorization.

313459920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 313459920 is about 17704.7993493290. The cubic root of 313459920 is about 679.2985269129.

The spelling of 313459920 in words is "three hundred thirteen million, four hundred fifty-nine thousand, nine hundred twenty".