230629600 has 72 divisors (see below), whose sum is σ = 592696440. Its totient is φ = 87390720.

The previous prime is 230629591. The next prime is 230629601. The reversal of 230629600 is 6926032.

230629600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230629601) 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, 7614 + ... + 22786.

It is an arithmetic number, because the mean of its divisors is an integer number (8231895).

Almost surely, 2^230629600 is an apocalyptic number.

230629600 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 230629600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296348220).

230629600 is an abundant number, since it is smaller than the sum of its proper divisors (362066840).

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

230629600 is a wasteful number, since it uses less digits than its factorization.

230629600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15212 (or 15199 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 230629600 is about 15186.4939996037. The cubic root of 230629600 is about 613.2511179443.

The spelling of 230629600 in words is "two hundred thirty million, six hundred twenty-nine thousand, six hundred".