230164400 has 60 divisors (see below), whose sum is σ = 558148800. Its totient is φ = 91203840.

The previous prime is 230164393. The next prime is 230164421. The reversal of 230164400 is 4461032.

It is a happy number.

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

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, 40961 + ... + 46239.

It is an arithmetic number, because the mean of its divisors is an integer number (9302480).

Almost surely, 2^230164400 is an apocalyptic number.

230164400 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 230164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279074400).

230164400 is an abundant number, since it is smaller than the sum of its proper divisors (327984400).

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

230164400 is a wasteful number, since it uses less digits than its factorization.

230164400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406 (or 5395 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 230164400 is about 15171.1700273908. The cubic root of 230164400 is about 612.8385134191.

The spelling of 230164400 in words is "two hundred thirty million, one hundred sixty-four thousand, four hundred".