230472000 has 448 divisors, whose sum is σ = 931956480. Its totient is φ = 55296000.

The previous prime is 230471999. The next prime is 230472031. The reversal of 230472000 is 274032.

It is a happy number.

230472000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2375952 + ... + 2376048.

It is an arithmetic number, because the mean of its divisors is an integer number (2080260).

Almost surely, 2^230472000 is an apocalyptic number.

230472000 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 230472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465978240).

230472000 is an abundant number, since it is smaller than the sum of its proper divisors (701484480).

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

230472000 is a wasteful number, since it uses less digits than its factorization.

230472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 230472000 is about 15181.3042917926. The cubic root of 230472000 is about 613.1113983834. Note that the first 3 decimals are identical.

The spelling of 230472000 in words is "two hundred thirty million, four hundred seventy-two thousand".