231957824400 has 405 divisors, whose sum is σ = 843895940979. Its totient is φ = 58996523520.

The previous prime is 231957824383. The next prime is 231957824437. The reversal of 231957824400 is 4428759132.

The square root of 231957824400 is 481620.

It is a perfect power (a square), and thus also a powerful number.

231957824400 is a `hidden beast` number, since 2 + 3 + 19 + 578 + 24 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2386517904 + 229571306496 = 48852^2 + 479136^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 664635426 + ... + 664635774.

Almost surely, 2^231957824400 is an apocalyptic number.

231957824400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

231957824400 is the 481620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231957824400

231957824400 is an abundant number, since it is smaller than the sum of its proper divisors (611938116579).

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

231957824400 is a wasteful number, since it uses less digits than its factorization.

231957824400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 231957824400 in words is "two hundred thirty-one billion, nine hundred fifty-seven million, eight hundred twenty-four thousand, four hundred".