231144480 has 288 divisors, whose sum is σ = 941601024. Its totient is φ = 50485248.

The previous prime is 231144467. The next prime is 231144497. The reversal of 231144480 is 84441132.

231144480 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231342 + ... + 232338.

It is an arithmetic number, because the mean of its divisors is an integer number (3269448).

Almost surely, 2^231144480 is an apocalyptic number.

231144480 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 231144480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470800512).

231144480 is an abundant number, since it is smaller than the sum of its proper divisors (710456544).

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

231144480 is a wasteful number, since it uses less digits than its factorization.

231144480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 231144480 is about 15203.4364536443. The cubic root of 231144480 is about 613.7071392814.

The spelling of 231144480 in words is "two hundred thirty-one million, one hundred forty-four thousand, four hundred eighty".