230493600 has 180 divisors, whose sum is σ = 840801654. Its totient is φ = 61447680.

The previous prime is 230493559. The next prime is 230493611. The reversal of 230493600 is 6394032.

230493600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 123743376 + 106750224 = 11124^2 + 10332^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 29 ways as a sum of consecutive naturals, for example, 63022 + ... + 66578.

Almost surely, 2^230493600 is an apocalyptic number.

230493600 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 230493600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420400827).

230493600 is an abundant number, since it is smaller than the sum of its proper divisors (610308054).

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

230493600 is a wasteful number, since it uses less digits than its factorization.

230493600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3589 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 230493600 is about 15182.0156764509. The cubic root of 230493600 is about 613.1305515307.

The spelling of 230493600 in words is "two hundred thirty million, four hundred ninety-three thousand, six hundred".