230977920 has 128 divisors (see below), whose sum is σ = 749088000. Its totient is φ = 60520448.

The previous prime is 230977919. The next prime is 230977921. The reversal of 230977920 is 29779032.

230977920 is digitally balanced in base 3, 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 (230977919) and next prime (230977921).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230977921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112261 + ... + 114299.

It is an arithmetic number, because the mean of its divisors is an integer number (5852250).

Almost surely, 2^230977920 is an apocalyptic number.

230977920 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 230977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374544000).

230977920 is an abundant number, since it is smaller than the sum of its proper divisors (518110080).

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

230977920 is a wasteful number, since it uses less digits than its factorization.

230977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 230977920 is about 15197.9577575410. The cubic root of 230977920 is about 613.5596938055.

The spelling of 230977920 in words is "two hundred thirty million, nine hundred seventy-seven thousand, nine hundred twenty".