230772326400 has 1440 divisors, whose sum is σ = 1060958760960. Its totient is φ = 47775744000.

The previous prime is 230772326399. The next prime is 230772326471. The reversal of 230772326400 is 4623277032.

230772326400 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 7 + 2 + 3 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 851558265 + ... + 851558535.

Almost surely, 2^230772326400 is an apocalyptic number.

230772326400 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 230772326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530479380480).

230772326400 is an abundant number, since it is smaller than the sum of its proper divisors (830186434560).

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

230772326400 is a wasteful number, since it uses less digits than its factorization.

230772326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 230772326400 in words is "two hundred thirty billion, seven hundred seventy-two million, three hundred twenty-six thousand, four hundred".