231384960 has 288 divisors, whose sum is σ = 854872200. Its totient is φ = 57655296.

The previous prime is 231384941. The next prime is 231385019. The reversal of 231384960 is 69483132.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1664571 + ... + 1664709.

Almost surely, 2^231384960 is an apocalyptic number.

231384960 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 231384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427436100).

231384960 is an abundant number, since it is smaller than the sum of its proper divisors (623487240).

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

231384960 is a wasteful number, since it uses less digits than its factorization.

231384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 231384960 is about 15211.3431359627. The cubic root of 231384960 is about 613.9198967463.

The spelling of 231384960 in words is "two hundred thirty-one million, three hundred eighty-four thousand, nine hundred sixty".