231285600 has 432 divisors, whose sum is σ = 1006623072. Its totient is φ = 48660480.

The previous prime is 231285589. The next prime is 231285611. The reversal of 231285600 is 6582132.

231285600 is a `hidden beast` number, since 2 + 31 + 28 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (231285589) and next prime (231285611).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 655024 + ... + 655376.

It is an arithmetic number, because the mean of its divisors is an integer number (2330146).

Almost surely, 2^231285600 is an apocalyptic number.

231285600 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 231285600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503311536).

231285600 is an abundant number, since it is smaller than the sum of its proper divisors (775337472).

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

231285600 is a wasteful number, since it uses less digits than its factorization.

231285600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 231285600 is about 15208.0768014894. The cubic root of 231285600 is about 613.8320088468.

The spelling of 231285600 in words is "two hundred thirty-one million, two hundred eighty-five thousand, six hundred".