313306460 has 96 divisors (see below), whose sum is σ = 718405632. Its totient is φ = 114428160.

The previous prime is 313306453. The next prime is 313306463. The reversal of 313306460 is 64603313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313306463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1810934 + ... + 1811106.

It is an arithmetic number, because the mean of its divisors is an integer number (7483392).

Almost surely, 2^313306460 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 313306460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359202816).

313306460 is an abundant number, since it is smaller than the sum of its proper divisors (405099172).

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

313306460 is a wasteful number, since it uses less digits than its factorization.

313306460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 313306460 is about 17700.4649656443. The cubic root of 313306460 is about 679.1876545051.

Adding to 313306460 its reverse (64603313), we get a palindrome (377909773).

The spelling of 313306460 in words is "three hundred thirteen million, three hundred six thousand, four hundred sixty".