313460784 has 240 divisors, whose sum is σ = 1137427200. Its totient is φ = 78257664.

The previous prime is 313460753. The next prime is 313460789. The reversal of 313460784 is 487064313.

It is a super-3 number, since 3×313460784³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (313460789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248347 + ... + 249605.

It is an arithmetic number, because the mean of its divisors is an integer number (4739280).

Almost surely, 2^313460784 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 313460784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568713600).

313460784 is an abundant number, since it is smaller than the sum of its proper divisors (823966416).

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

313460784 is a wasteful number, since it uses less digits than its factorization.

313460784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 313460784 is about 17704.8237494757. The cubic root of 313460784 is about 679.2991510367.

The spelling of 313460784 in words is "three hundred thirteen million, four hundred sixty thousand, seven hundred eighty-four".