235842400 has 36 divisors (see below), whose sum is σ = 575752212. Its totient is φ = 94336640.

The previous prime is 235842379. The next prime is 235842427. The reversal of 235842400 is 4248532.

235842400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 146602 + ... + 148201.

It is an arithmetic number, because the mean of its divisors is an integer number (15993117).

Almost surely, 2^235842400 is an apocalyptic number.

235842400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235842400 is an abundant number, since it is smaller than the sum of its proper divisors (339909812).

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

235842400 is a wasteful number, since it uses less digits than its factorization.

235842400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294823 (or 294810 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 235842400 is about 15357.1611960023. The cubic root of 235842400 is about 617.8370694932.

The spelling of 235842400 in words is "two hundred thirty-five million, eight hundred forty-two thousand, four hundred".