230980276800 has 1512 divisors, whose sum is σ = 1041482169000. Its totient is φ = 48407224320.

The previous prime is 230980276781. The next prime is 230980276823. The reversal of 230980276800 is 8672089032.

It can be written as a sum of positive squares in 12 ways, for example, as 225085722624 + 5894554176 = 474432^2 + 76776^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1550203126 + ... + 1550203274.

Almost surely, 2^230980276800 is an apocalyptic number.

230980276800 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 230980276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520741084500).

230980276800 is an abundant number, since it is smaller than the sum of its proper divisors (810501892200).

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

230980276800 is a wasteful number, since it uses less digits than its factorization.

230980276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 230980276800 in words is "two hundred thirty billion, nine hundred eighty million, two hundred seventy-six thousand, eight hundred".