320090400 has 576 divisors, whose sum is σ = 1387411200. Its totient is φ = 69672960.

The previous prime is 320090387. The next prime is 320090411. The reversal of 320090400 is 4090023.

320090400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4384764 + ... + 4384836.

It is an arithmetic number, because the mean of its divisors is an integer number (2408700).

Almost surely, 2^320090400 is an apocalyptic number.

320090400 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 320090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693705600).

320090400 is an abundant number, since it is smaller than the sum of its proper divisors (1067320800).

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

320090400 is a wasteful number, since it uses less digits than its factorization.

320090400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 320090400 is about 17891.0703983859. The cubic root of 320090400 is about 684.0547817004.

The spelling of 320090400 in words is "three hundred twenty million, ninety thousand, four hundred".