313785504 has 144 divisors (see below), whose sum is σ = 940972032. Its totient is φ = 98993664.

The previous prime is 313785499. The next prime is 313785517. The reversal of 313785504 is 405587313.

313785504 is a `hidden beast` number, since 31 + 3 + 78 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×313785504² = 196922685041068032, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 841062 + ... + 841434.

It is an arithmetic number, because the mean of its divisors is an integer number (6534528).

Almost surely, 2^313785504 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 313785504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470486016).

313785504 is an abundant number, since it is smaller than the sum of its proper divisors (627186528).

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

313785504 is a wasteful number, since it uses less digits than its factorization.

313785504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 313785504 is about 17713.9917579297. The cubic root of 313785504 is about 679.5336363982.

The spelling of 313785504 in words is "three hundred thirteen million, seven hundred eighty-five thousand, five hundred four".