230120400 has 120 divisors (see below), whose sum is σ = 776026720. Its totient is φ = 58129920.

The previous prime is 230120389. The next prime is 230120441. The reversal of 230120400 is 4021032.

It is a tau number, because it is divible by the number of its divisors (120).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17754 + ... + 27846.

Almost surely, 2^230120400 is an apocalyptic number.

230120400 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 230120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388013360).

230120400 is an abundant number, since it is smaller than the sum of its proper divisors (545906320).

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

230120400 is a wasteful number, since it uses less digits than its factorization.

230120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10133 (or 10122 counting only the distinct ones).

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

The square root of 230120400 is about 15169.7198392060. The cubic root of 230120400 is about 612.7994592864.

Adding to 230120400 its reverse (4021032), we get a palindrome (234141432).

The spelling of 230120400 in words is "two hundred thirty million, one hundred twenty thousand, four hundred".