230288400 has 120 divisors (see below), whose sum is σ = 819694560. Its totient is φ = 61407360.

The previous prime is 230288381. The next prime is 230288413. The reversal of 230288400 is 4882032.

230288400 is a `hidden beast` number, since 230 + 28 + 8 + 400 = 666.

230288400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139 + ... + 21461.

It is an arithmetic number, because the mean of its divisors is an integer number (6830788).

Almost surely, 2^230288400 is an apocalyptic number.

230288400 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 230288400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409847280).

230288400 is an abundant number, since it is smaller than the sum of its proper divisors (589406160).

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

230288400 is a wasteful number, since it uses less digits than its factorization.

230288400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21350 (or 21333 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 230288400 is about 15175.2561757619. The cubic root of 230288400 is about 612.9485482941.

The spelling of 230288400 in words is "two hundred thirty million, two hundred eighty-eight thousand, four hundred".