234061440 has 256 divisors, whose sum is σ = 809015040. Its totient is φ = 57344000.

The previous prime is 234061403. The next prime is 234061441. The reversal of 234061440 is 44160432.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 234061440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234061441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2317390 + ... + 2317490.

It is an arithmetic number, because the mean of its divisors is an integer number (3160215).

Almost surely, 2^234061440 is an apocalyptic number.

234061440 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 234061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404507520).

234061440 is an abundant number, since it is smaller than the sum of its proper divisors (574953600).

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

234061440 is a wasteful number, since it uses less digits than its factorization.

234061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 234061440 is about 15299.0666381972. The cubic root of 234061440 is about 616.2779428238.

The spelling of 234061440 in words is "two hundred thirty-four million, sixty-one thousand, four hundred forty".