235672800 has 288 divisors, whose sum is σ = 854945280. Its totient is φ = 55910400.

The previous prime is 235672777. The next prime is 235672813. The reversal of 235672800 is 8276532.

235672800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2085544 + ... + 2085656.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 2^235672800 is an apocalyptic number.

235672800 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 235672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427472640).

235672800 is an abundant number, since it is smaller than the sum of its proper divisors (619272480).

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

235672800 is a wasteful number, since it uses less digits than its factorization.

235672800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 235672800 is about 15351.6383490493. The cubic root of 235672800 is about 617.6889334288.

The spelling of 235672800 in words is "two hundred thirty-five million, six hundred seventy-two thousand, eight hundred".