320401200 has 180 divisors, whose sum is σ = 1194138600. Its totient is φ = 73221120.

The previous prime is 320401181. The next prime is 320401223. The reversal of 320401200 is 2104023.

320401200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×320401200² = 205313857922880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56076 + ... + 61524.

Almost surely, 2^320401200 is an apocalyptic number.

320401200 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 320401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597069300).

320401200 is an abundant number, since it is smaller than the sum of its proper divisors (873737400).

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

320401200 is a wasteful number, since it uses less digits than its factorization.

320401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5484 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 320401200 is about 17899.7541882563. The cubic root of 320401200 is about 684.2761102710.

Adding to 320401200 its reverse (2104023), we get a palindrome (322505223).

The spelling of 320401200 in words is "three hundred twenty million, four hundred one thousand, two hundred".