230582400 has 96 divisors (see below), whose sum is σ = 759512400. Its totient is φ = 61486080.

The previous prime is 230582333. The next prime is 230582413. The reversal of 230582400 is 4285032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2410 + ... + 21609.

Almost surely, 2^230582400 is an apocalyptic number.

230582400 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 230582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379756200).

230582400 is an abundant number, since it is smaller than the sum of its proper divisors (528930000).

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

230582400 is a wasteful number, since it uses less digits than its factorization.

230582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24046 (or 24029 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 230582400 is about 15184.9399076849. The cubic root of 230582400 is about 613.2092796783.

The spelling of 230582400 in words is "two hundred thirty million, five hundred eighty-two thousand, four hundred".