230045435200 has 336 divisors, whose sum is σ = 664212844800. Its totient is φ = 78384445440.

The previous prime is 230045435183. The next prime is 230045435237. The reversal of 230045435200 is 2534540032.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94941189 + ... + 94943611.

Almost surely, 2^230045435200 is an apocalyptic number.

230045435200 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 230045435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332106422400).

230045435200 is an abundant number, since it is smaller than the sum of its proper divisors (434167409600).

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

230045435200 is a wasteful number, since it uses less digits than its factorization.

230045435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

Adding to 230045435200 its reverse (2534540032), we get a palindrome (232579975232).

The spelling of 230045435200 in words is "two hundred thirty billion, forty-five million, four hundred thirty-five thousand, two hundred".