232589280 has 576 divisors, whose sum is σ = 992839680. Its totient is φ = 45158400.

The previous prime is 232589267. The next prime is 232589293. The reversal of 232589280 is 82985232.

It is an interprime number because it is at equal distance from previous prime (232589267) and next prime (232589293).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7502865 + ... + 7502895.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 2^232589280 is an apocalyptic number.

232589280 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 232589280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496419840).

232589280 is an abundant number, since it is smaller than the sum of its proper divisors (760250400).

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

232589280 is a wasteful number, since it uses less digits than its factorization.

232589280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 232589280 is about 15250.8780075116. The cubic root of 232589280 is about 614.9831709322.

The spelling of 232589280 in words is "two hundred thirty-two million, five hundred eighty-nine thousand, two hundred eighty".