230320400 has 60 divisors (see below), whose sum is σ = 558921444. Its totient is φ = 91200000.

The previous prime is 230320397. The next prime is 230320429. The reversal of 230320400 is 4023032.

It can be written as a sum of positive squares in 6 ways, for example, as 26173456 + 204146944 = 5116^2 + 14288^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37550 + ... + 43250.

Almost surely, 2^230320400 is an apocalyptic number.

230320400 is a gapful number since it is divisible by the number (20) 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 230320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279460722).

230320400 is an abundant number, since it is smaller than the sum of its proper divisors (328601044).

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

230320400 is a wasteful number, since it uses less digits than its factorization.

230320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820 (or 5809 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 230320400 is about 15176.3104870716. The cubic root of 230320400 is about 612.9769379787.

Adding to 230320400 its reverse (4023032), we get a palindrome (234343432).

The spelling of 230320400 in words is "two hundred thirty million, three hundred twenty thousand, four hundred".