230045472 has 72 divisors (see below), whose sum is σ = 662538240. Its totient is φ = 75703680.

The previous prime is 230045461. The next prime is 230045477. The reversal of 230045472 is 274540032.

230045472 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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230045477) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17697 + ... + 27807.

It is an arithmetic number, because the mean of its divisors is an integer number (9201920).

Almost surely, 2^230045472 is an apocalyptic number.

230045472 is the 7584-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230045472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331269120).

230045472 is an abundant number, since it is smaller than the sum of its proper divisors (432492768).

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

230045472 is a wasteful number, since it uses less digits than its factorization.

230045472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10206 (or 10195 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 230045472 is about 15167.2499814568. The cubic root of 230045472 is about 612.7329421904.

The spelling of 230045472 in words is "two hundred thirty million, forty-five thousand, four hundred seventy-two".