313464240 has 180 divisors, whose sum is σ = 1101814896. Its totient is φ = 79858944.

The previous prime is 313464199. The next prime is 313464253. The reversal of 313464240 is 42464313.

313464240 is a `hidden beast` number, since 3 + 13 + 4 + 642 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380469 + ... + 381291.

Almost surely, 2^313464240 is an apocalyptic number.

313464240 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 313464240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550907448).

313464240 is an abundant number, since it is smaller than the sum of its proper divisors (788350656).

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

313464240 is a wasteful number, since it uses less digits than its factorization.

313464240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 313464240 is about 17704.9213497265. The cubic root of 313464240 is about 679.3016475204.

The spelling of 313464240 in words is "three hundred thirteen million, four hundred sixty-four thousand, two hundred forty".