320920400 has 60 divisors (see below), whose sum is σ = 775192572. Its totient is φ = 127672320.

The previous prime is 320920399. The next prime is 320920417. The reversal of 320920400 is 4029023.

It can be written as a sum of positive squares in 6 ways, for example, as 27962944 + 292957456 = 5288^2 + 17116^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 75122 + ... + 79278.

Almost surely, 2^320920400 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 320920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387596286).

320920400 is an abundant number, since it is smaller than the sum of its proper divisors (454272172).

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

320920400 is a wasteful number, since it uses less digits than its factorization.

320920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4368 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 320920400 is about 17914.2513100604. The cubic root of 320920400 is about 684.6455267239.

Adding to 320920400 its reverse (4029023), we get a palindrome (324949423).

The spelling of 320920400 in words is "three hundred twenty million, nine hundred twenty thousand, four hundred".