230084400 has 480 divisors, whose sum is σ = 947161600. Its totient is φ = 47416320.

The previous prime is 230084399. The next prime is 230084423. The reversal of 230084400 is 4480032.

It is a happy number.

It is a super-2 number, since 2×230084400² = 105877662246720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5350779 + ... + 5350821.

Almost surely, 2^230084400 is an apocalyptic number.

230084400 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 230084400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473580800).

230084400 is an abundant number, since it is smaller than the sum of its proper divisors (717077200).

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

230084400 is a wasteful number, since it uses less digits than its factorization.

230084400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 230084400 is about 15168.5332184757. The cubic root of 230084400 is about 612.7675022022.

The spelling of 230084400 in words is "two hundred thirty million, eighty-four thousand, four hundred".