235042800 has 60 divisors (see below), whose sum is σ = 752924280. Its totient is φ = 62677760.

The previous prime is 235042793. The next prime is 235042813. The reversal of 235042800 is 8240532.

235042800 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96735 + ... + 99134.

It is an arithmetic number, because the mean of its divisors is an integer number (12548738).

Almost surely, 2^235042800 is an apocalyptic number.

235042800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235042800 is an abundant number, since it is smaller than the sum of its proper divisors (517881480).

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

235042800 is a wasteful number, since it uses less digits than its factorization.

235042800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195890 (or 195879 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 235042800 is about 15331.1056352763. The cubic root of 235042800 is about 617.1380406983.

It can be divided in two parts, 2350 and 42800, that added together give a triangular number (45150 = T₃₀₀).

The spelling of 235042800 in words is "two hundred thirty-five million, forty-two thousand, eight hundred".