230430000976 has 160 divisors (see below), whose sum is σ = 530606039040. Its totient is φ = 94898345472.

The previous prime is 230430000973. The next prime is 230430000989. The reversal of 230430000976 is 679000034032.

230430000976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230430000973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107525761 + ... + 107527903.

It is an arithmetic number, because the mean of its divisors is an integer number (3316287744).

Almost surely, 2^230430000976 is an apocalyptic number.

230430000976 is the 240016-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230430000976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265303019520).

230430000976 is an abundant number, since it is smaller than the sum of its proper divisors (300176038064).

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

230430000976 is a wasteful number, since it uses less digits than its factorization.

230430000976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The spelling of 230430000976 in words is "two hundred thirty billion, four hundred thirty million, nine hundred seventy-six", and thus it is an aban number.