231457824 has 120 divisors (see below), whose sum is σ = 733180140. Its totient is φ = 71207424.

The previous prime is 231457819. The next prime is 231457841. The reversal of 231457824 is 428754132.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 172659600 + 58798224 = 13140^2 + 7668^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30262 + ... + 37130.

Almost surely, 2^231457824 is an apocalyptic number.

231457824 is a gapful number since it is divisible by the number (24) 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 231457824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366590070).

231457824 is an abundant number, since it is smaller than the sum of its proper divisors (501722316).

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

231457824 is a wasteful number, since it uses less digits than its factorization.

231457824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6904 (or 6887 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 231457824 is about 15213.7380022137. The cubic root of 231457824 is about 613.9843318831.

The spelling of 231457824 in words is "two hundred thirty-one million, four hundred fifty-seven thousand, eight hundred twenty-four".