230878880 has 96 divisors (see below), whose sum is σ = 578793600. Its totient is φ = 86787072.

The previous prime is 230878877. The next prime is 230878883. The reversal of 230878880 is 88878032.

230878880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230878877) and next prime (230878883).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (230878883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525701 + ... + 526139.

It is an arithmetic number, because the mean of its divisors is an integer number (6029100).

Almost surely, 2^230878880 is an apocalyptic number.

230878880 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 230878880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289396800).

230878880 is an abundant number, since it is smaller than the sum of its proper divisors (347914720).

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

230878880 is a wasteful number, since it uses less digits than its factorization.

230878880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 44.

The square root of 230878880 is about 15194.6990756645. The cubic root of 230878880 is about 613.4719860865.

The spelling of 230878880 in words is "two hundred thirty million, eight hundred seventy-eight thousand, eight hundred eighty".