235075824 has 160 divisors (see below), whose sum is σ = 717811200. Its totient is φ = 73497600.

The previous prime is 235075823. The next prime is 235075843. The reversal of 235075824 is 428570532.

235075824 is a `hidden beast` number, since 23 + 50 + 7 + 582 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235075823) 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 31 ways as a sum of consecutive naturals, for example, 586024 + ... + 586424.

It is an arithmetic number, because the mean of its divisors is an integer number (4486320).

Almost surely, 2^235075824 is an apocalyptic number.

235075824 is a gapful number since it is divisible by the number (24) 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 235075824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358905600).

235075824 is an abundant number, since it is smaller than the sum of its proper divisors (482735376).

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

235075824 is a wasteful number, since it uses less digits than its factorization.

235075824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 235075824 is about 15332.1826234884. The cubic root of 235075824 is about 617.1669424022.

The spelling of 235075824 in words is "two hundred thirty-five million, seventy-five thousand, eight hundred twenty-four".