234845280 has 144 divisors (see below), whose sum is σ = 813050784. Its totient is φ = 61716480.

The previous prime is 234845269. The next prime is 234845297. The reversal of 234845280 is 82548432.

It is a tau number, because it is divible by the number of its divisors (144).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101092 + ... + 103388.

It is an arithmetic number, because the mean of its divisors is an integer number (5646186).

Almost surely, 2^234845280 is an apocalyptic number.

234845280 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 234845280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406525392).

234845280 is an abundant number, since it is smaller than the sum of its proper divisors (578205504).

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

234845280 is a wasteful number, since it uses less digits than its factorization.

234845280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 234845280 is about 15324.6624758916. The cubic root of 234845280 is about 616.9651200394.

The spelling of 234845280 in words is "two hundred thirty-four million, eight hundred forty-five thousand, two hundred eighty".