230419987200 has 1512 divisors, whose sum is σ = 959899968720. Its totient is φ = 54344908800.

The previous prime is 230419987163. The next prime is 230419987207. The reversal of 230419987200 is 2789914032.

230419987200 is a `hidden beast` number, since 23 + 0 + 419 + 9 + 8 + 7 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230419987207) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1758931135 + ... + 1758931265.

Almost surely, 2^230419987200 is an apocalyptic number.

230419987200 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 230419987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479949984360).

230419987200 is an abundant number, since it is smaller than the sum of its proper divisors (729479981520).

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

230419987200 is a wasteful number, since it uses less digits than its factorization.

230419987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 230419987200 in words is "two hundred thirty billion, four hundred nineteen million, nine hundred eighty-seven thousand, two hundred".