234411840 has 224 divisors, whose sum is σ = 890991360. Its totient is φ = 57673728.

The previous prime is 234411811. The next prime is 234411841. The reversal of 234411840 is 48114432.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234411841) 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, 111277 + ... + 113363.

It is an arithmetic number, because the mean of its divisors is an integer number (3977640).

Almost surely, 2^234411840 is an apocalyptic number.

234411840 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 234411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445495680).

234411840 is an abundant number, since it is smaller than the sum of its proper divisors (656579520).

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

234411840 is a wasteful number, since it uses less digits than its factorization.

234411840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 234411840 is about 15310.5140344797. The cubic root of 234411840 is about 616.5853209801.

It can be divided in two parts, 23441 and 1840, that added together give a square (25281 = 159²).

The spelling of 234411840 in words is "two hundred thirty-four million, four hundred eleven thousand, eight hundred forty".