320460800 has 144 divisors (see below), whose sum is σ = 868303800. Its totient is φ = 116326400.

The previous prime is 320460769. The next prime is 320460841. The reversal of 320460800 is 8064023.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 562916 + ... + 563484.

Almost surely, 2^320460800 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 320460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434151900).

320460800 is an abundant number, since it is smaller than the sum of its proper divisors (547843000).

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

320460800 is a wasteful number, since it uses less digits than its factorization.

320460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 320460800 is about 17901.4189381736. The cubic root of 320460800 is about 684.3185365870.

The spelling of 320460800 in words is "three hundred twenty million, four hundred sixty thousand, eight hundred".