234289440 has 288 divisors, whose sum is σ = 997266816. Its totient is φ = 48660480.

The previous prime is 234289423. The next prime is 234289441. The reversal of 234289440 is 44982432.

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 junction number, because it is equal to n+sod(n) for n = 234289395 and 234289404.

It is not an unprimeable number, because it can be changed into a prime (234289441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109824 + ... + 111936.

It is an arithmetic number, because the mean of its divisors is an integer number (3462732).

Almost surely, 2^234289440 is an apocalyptic number.

234289440 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 234289440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498633408).

234289440 is an abundant number, since it is smaller than the sum of its proper divisors (762977376).

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

234289440 is a wasteful number, since it uses less digits than its factorization.

234289440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 234289440 is about 15306.5162594236. The cubic root of 234289440 is about 616.4779839917.

The spelling of 234289440 in words is "two hundred thirty-four million, two hundred eighty-nine thousand, four hundred forty".