235282320 has 720 divisors, whose sum is σ = 1080555840. Its totient is φ = 47029248.

The previous prime is 235282291. The next prime is 235282321. The reversal of 235282320 is 23282532.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235282321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12383271 + ... + 12383289.

It is an arithmetic number, because the mean of its divisors is an integer number (1500772).

Almost surely, 2^235282320 is an apocalyptic number.

235282320 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 235282320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540277920).

235282320 is an abundant number, since it is smaller than the sum of its proper divisors (845273520).

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

235282320 is a wasteful number, since it uses less digits than its factorization.

235282320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 235282320 is about 15338.9152158815. The cubic root of 235282320 is about 617.3476007175.

The spelling of 235282320 in words is "two hundred thirty-five million, two hundred eighty-two thousand, three hundred twenty".