235312000 has 256 divisors, whose sum is σ = 733224960. Its totient is φ = 72960000.

The previous prime is 235311949. The next prime is 235312031. The reversal of 235312000 is 213532.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1231905 + ... + 1232095.

It is an arithmetic number, because the mean of its divisors is an integer number (2864160).

Almost surely, 2^235312000 is an apocalyptic number.

235312000 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 235312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366612480).

235312000 is an abundant number, since it is smaller than the sum of its proper divisors (497912960).

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

235312000 is a wasteful number, since it uses less digits than its factorization.

235312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 235312000 is about 15339.8826592644. The cubic root of 235312000 is about 617.3735583364.

Adding to 235312000 its reverse (213532), we get a palindrome (235525532).

The spelling of 235312000 in words is "two hundred thirty-five million, three hundred twelve thousand".