230877920 has 192 divisors, whose sum is σ = 682286976. Its totient is φ = 71884800.

The previous prime is 230877919. The next prime is 230877947. The reversal of 230877920 is 29778032.

230877920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×230877920² = 106609227887052800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1470482 + ... + 1470638.

It is an arithmetic number, because the mean of its divisors is an integer number (3553578).

Almost surely, 2^230877920 is an apocalyptic number.

230877920 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 230877920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341143488).

230877920 is an abundant number, since it is smaller than the sum of its proper divisors (451409056).

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

230877920 is a wasteful number, since it uses less digits than its factorization.

230877920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 230877920 is about 15194.6674856675. The cubic root of 230877920 is about 613.4711358082.

The spelling of 230877920 in words is "two hundred thirty million, eight hundred seventy-seven thousand, nine hundred twenty".