231288400 has 240 divisors, whose sum is σ = 694134144. Its totient is φ = 72253440.

The previous prime is 231288389. The next prime is 231288401. The reversal of 231288400 is 4882132.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231288401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2046744 + ... + 2046856.

Almost surely, 2^231288400 is an apocalyptic number.

231288400 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 231288400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347067072).

231288400 is an abundant number, since it is smaller than the sum of its proper divisors (462845744).

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

231288400 is a wasteful number, since it uses less digits than its factorization.

231288400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 231288400 is about 15208.1688575581. The cubic root of 231288400 is about 613.8344859036.

The spelling of 231288400 in words is "two hundred thirty-one million, two hundred eighty-eight thousand, four hundred".