432741834 has 240 divisors, whose sum is σ = 1258433280. Its totient is φ = 106686720.

The previous prime is 432741779. The next prime is 432741847. The reversal of 432741834 is 438147234.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13959399 + ... + 13959429.

It is an arithmetic number, because the mean of its divisors is an integer number (5243472).

Almost surely, 2^432741834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432741834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629216640).

432741834 is an abundant number, since it is smaller than the sum of its proper divisors (825691446).

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

432741834 is a wasteful number, since it uses less digits than its factorization.

432741834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 79 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 432741834 is about 20802.4477886618. The cubic root of 432741834 is about 756.3850918741.

The spelling of 432741834 in words is "four hundred thirty-two million, seven hundred forty-one thousand, eight hundred thirty-four".