230004940800 has 1008 divisors, whose sum is σ = 863782272432. Its totient is φ = 53791948800.

The previous prime is 230004940769. The next prime is 230004940831. The reversal of 230004940800 is 8049400032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230004940769) and next prime (230004940831).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3770572770 + ... + 3770572830.

Almost surely, 2^230004940800 is an apocalyptic number.

230004940800 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 230004940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431891136216).

230004940800 is an abundant number, since it is smaller than the sum of its proper divisors (633777331632).

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

230004940800 is a wasteful number, since it uses less digits than its factorization.

230004940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 230004940800 in words is "two hundred thirty billion, four million, nine hundred forty thousand, eight hundred".