313920432 has 240 divisors, whose sum is σ = 1087906560. Its totient is φ = 82487808.

The previous prime is 313920407. The next prime is 313920443. The reversal of 313920432 is 234029313.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 313920396 and 313920405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 708403 + ... + 708845.

It is an arithmetic number, because the mean of its divisors is an integer number (4532944).

Almost surely, 2^313920432 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 313920432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543953280).

313920432 is an abundant number, since it is smaller than the sum of its proper divisors (773986128).

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

313920432 is a wasteful number, since it uses less digits than its factorization.

313920432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 313920432 is about 17717.7998634142. The cubic root of 313920432 is about 679.6310224305.

Adding to 313920432 its reverse (234029313), we get a palindrome (547949745).

The spelling of 313920432 in words is "three hundred thirteen million, nine hundred twenty thousand, four hundred thirty-two".