313415040 has 128 divisors (see below), whose sum is σ = 1004659200. Its totient is φ = 83105792.

The previous prime is 313415033. The next prime is 313415059. The reversal of 313415040 is 40514313.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 313414998 and 313415016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458539 + ... + 459221.

It is an arithmetic number, because the mean of its divisors is an integer number (7848900).

Almost surely, 2^313415040 is an apocalyptic number.

313415040 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 313415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502329600).

313415040 is an abundant number, since it is smaller than the sum of its proper divisors (691244160).

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

313415040 is a wasteful number, since it uses less digits than its factorization.

313415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 313415040 is about 17703.5318510178. The cubic root of 313415040 is about 679.2661055718.

Adding to 313415040 its reverse (40514313), we get a palindrome (353929353).

The spelling of 313415040 in words is "three hundred thirteen million, four hundred fifteen thousand, forty".