432085536 has 96 divisors (see below), whose sum is σ = 1326628800. Its totient is φ = 136442880.

The previous prime is 432085501. The next prime is 432085559. The reversal of 432085536 is 635580234.

It is a happy number.

432085536 is a `hidden beast` number, since 43 + 2 + 0 + 85 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 432085536.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3256 + ... + 29576.

It is an arithmetic number, because the mean of its divisors is an integer number (13819050).

Almost surely, 2^432085536 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 432085536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663314400).

432085536 is an abundant number, since it is smaller than the sum of its proper divisors (894543264).

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

432085536 is a wasteful number, since it uses less digits than its factorization.

432085536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26359 (or 26345 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 432085536 is about 20786.6672653410. The cubic root of 432085536 is about 756.0025195179.

The spelling of 432085536 in words is "four hundred thirty-two million, eighty-five thousand, five hundred thirty-six".