231642400 has 108 divisors (see below), whose sum is σ = 621839106. Its totient is φ = 84198400.

The previous prime is 231642373. The next prime is 231642413. The reversal of 231642400 is 4246132.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 99760144 + 131882256 = 9988^2 + 11484^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 95604 + ... + 97996.

Almost surely, 2^231642400 is an apocalyptic number.

231642400 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 231642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310919553).

231642400 is an abundant number, since it is smaller than the sum of its proper divisors (390196706).

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

231642400 is a wasteful number, since it uses less digits than its factorization.

231642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 231642400 is about 15219.8028896566. The cubic root of 231642400 is about 614.1474957507.

Adding to 231642400 its reverse (4246132), we get a palindrome (235888532).

The spelling of 231642400 in words is "two hundred thirty-one million, six hundred forty-two thousand, four hundred".