235008000 has 416 divisors, whose sum is σ = 920013120. Its totient is φ = 58982400.

The previous prime is 235007987. The next prime is 235008001. The reversal of 235008000 is 800532.

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235008001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13823992 + ... + 13824008.

It is an arithmetic number, because the mean of its divisors is an integer number (2211570).

Almost surely, 2^235008000 is an apocalyptic number.

235008000 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 235008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460006560).

235008000 is an abundant number, since it is smaller than the sum of its proper divisors (685005120).

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

235008000 is an equidigital number, since it uses as much as digits as its factorization.

235008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 235008000 is about 15329.9706457645. The cubic root of 235008000 is about 617.1075817580.

Adding to 235008000 its reverse (800532), we get a palindrome (235808532).

The spelling of 235008000 in words is "two hundred thirty-five million, eight thousand".