320870400 has 144 divisors (see below), whose sum is σ = 1061260200. Its totient is φ = 85524480.

The previous prime is 320870399. The next prime is 320870419. The reversal of 320870400 is 4078023.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 152556 + ... + 154644.

Almost surely, 2^320870400 is an apocalyptic number.

320870400 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 320870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530630100).

320870400 is an abundant number, since it is smaller than the sum of its proper divisors (740389800).

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

320870400 is a wasteful number, since it uses less digits than its factorization.

320870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 320870400 is about 17912.8557187289. The cubic root of 320870400 is about 684.6099685250.

The spelling of 320870400 in words is "three hundred twenty million, eight hundred seventy thousand, four hundred".