232858080 has 288 divisors, whose sum is σ = 978554304. Its totient is φ = 49102848.

The previous prime is 232858079. The next prime is 232858099. The reversal of 232858080 is 80858232.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130152 + ... + 131928.

It is an arithmetic number, because the mean of its divisors is an integer number (3397758).

Almost surely, 2^232858080 is an apocalyptic number.

232858080 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 232858080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489277152).

232858080 is an abundant number, since it is smaller than the sum of its proper divisors (745696224).

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

232858080 is a wasteful number, since it uses less digits than its factorization.

232858080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 232858080 is about 15259.6880702064. The cubic root of 232858080 is about 615.2199887197.

The spelling of 232858080 in words is "two hundred thirty-two million, eight hundred fifty-eight thousand, eighty".