432534816 has 240 divisors, whose sum is σ = 1502645760. Its totient is φ = 119439360.

The previous prime is 432534799. The next prime is 432534853. The reversal of 432534816 is 618435234.

432534816 is a `hidden beast` number, since 43 + 2 + 534 + 81 + 6 = 666.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 562080 + ... + 562848.

It is an arithmetic number, because the mean of its divisors is an integer number (6261024).

Almost surely, 2^432534816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432534816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751322880).

432534816 is an abundant number, since it is smaller than the sum of its proper divisors (1070110944).

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

432534816 is a wasteful number, since it uses less digits than its factorization.

432534816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 812 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 432534816 is about 20797.4713847621. The cubic root of 432534816 is about 756.2644577433.

The spelling of 432534816 in words is "four hundred thirty-two million, five hundred thirty-four thousand, eight hundred sixteen".