320979456 has 320 divisors, whose sum is σ = 1131356160. Its totient is φ = 87920640.

The previous prime is 320979443. The next prime is 320979457. The reversal of 320979456 is 654979023.

It is a happy number.

It is a super-2 number, since 2×320979456² = 206055622348111872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320979457) 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, 2999755 + ... + 2999861.

It is an arithmetic number, because the mean of its divisors is an integer number (3535488).

Almost surely, 2^320979456 is an apocalyptic number.

320979456 is a gapful number since it is divisible by the number (36) 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 320979456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565678080).

320979456 is an abundant number, since it is smaller than the sum of its proper divisors (810376704).

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

320979456 is a wasteful number, since it uses less digits than its factorization.

320979456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 320979456 is about 17915.8995308636. The cubic root of 320979456 is about 684.6875204669.

The spelling of 320979456 in words is "three hundred twenty million, nine hundred seventy-nine thousand, four hundred fifty-six".