235408320 has 168 divisors, whose sum is σ = 925458144. Its totient is φ = 53803008.

The previous prime is 235408297. The next prime is 235408337. The reversal of 235408320 is 23804532.

235408320 is a `hidden beast` number, since 23 + 540 + 83 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14322 + ... + 25998.

Almost surely, 2^235408320 is an apocalyptic number.

235408320 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 235408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462729072).

235408320 is an abundant number, since it is smaller than the sum of its proper divisors (690049824).

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

235408320 is a wasteful number, since it uses less digits than its factorization.

235408320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11707 (or 11694 counting only the distinct ones).

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

The square root of 235408320 is about 15343.0218666337. The cubic root of 235408320 is about 617.4577831235.

The spelling of 235408320 in words is "two hundred thirty-five million, four hundred eight thousand, three hundred twenty".