313365460 has 48 divisors (see below), whose sum is σ = 676508112. Its totient is φ = 121856000.

The previous prime is 313365457. The next prime is 313365463. The reversal of 313365460 is 64563313.

It is an interprime number because it is at equal distance from previous prime (313365457) and next prime (313365463).

It can be written as a sum of positive squares in 8 ways, for example, as 853776 + 312511684 = 924^2 + 17678^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313365463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328344 + ... + 329296.

It is an arithmetic number, because the mean of its divisors is an integer number (14093919).

Almost surely, 2^313365460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313365460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338254056).

313365460 is an abundant number, since it is smaller than the sum of its proper divisors (363142652).

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

313365460 is a wasteful number, since it uses less digits than its factorization.

313365460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

The square root of 313365460 is about 17702.1315100753. The cubic root of 313365460 is about 679.2302853491.

The spelling of 313365460 in words is "three hundred thirteen million, three hundred sixty-five thousand, four hundred sixty".