233902080 has 312 divisors, whose sum is σ = 858678912. Its totient is φ = 61046784.

The previous prime is 233902063. The next prime is 233902093. The reversal of 233902080 is 80209332.

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

It is a nialpdrome in base 12.

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, 4976617 + ... + 4976663.

It is an arithmetic number, because the mean of its divisors is an integer number (2752176).

Almost surely, 2^233902080 is an apocalyptic number.

233902080 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 233902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429339456).

233902080 is an abundant number, since it is smaller than the sum of its proper divisors (624776832).

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

233902080 is an frugal number, since it uses more digits than its factorization.

233902080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 233902080 is about 15293.8575905492. The cubic root of 233902080 is about 616.1380474327.

The spelling of 233902080 in words is "two hundred thirty-three million, nine hundred two thousand, eighty".