230634758400 has 216 divisors, whose sum is σ = 766000806144. Its totient is φ = 61110067200.

The previous prime is 230634758383. The next prime is 230634758401. The reversal of 230634758400 is 4857436032.

It is not an unprimeable number, because it can be changed into a prime (230634758401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2976145 + ... + 3052655.

Almost surely, 2^230634758400 is an apocalyptic number.

230634758400 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 230634758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383000403072).

230634758400 is an abundant number, since it is smaller than the sum of its proper divisors (535366047744).

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

230634758400 is a wasteful number, since it uses less digits than its factorization.

230634758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76697 (or 76678 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 230634758400 in words is "two hundred thirty billion, six hundred thirty-four million, seven hundred fifty-eight thousand, four hundred".