432019872 has 96 divisors (see below), whose sum is σ = 1326427200. Its totient is φ = 136422144.

The previous prime is 432019871. The next prime is 432019919. The reversal of 432019872 is 278910234.

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 not an unprimeable number, because it can be changed into a prime (432019871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3258 + ... + 29574.

It is an arithmetic number, because the mean of its divisors is an integer number (13816950).

Almost surely, 2^432019872 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 432019872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663213600).

432019872 is an abundant number, since it is smaller than the sum of its proper divisors (894407328).

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

432019872 is a wasteful number, since it uses less digits than its factorization.

432019872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26355 (or 26341 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 432019872 is about 20785.0877313520. The cubic root of 432019872 is about 755.9642210329.

The spelling of 432019872 in words is "four hundred thirty-two million, nineteen thousand, eight hundred seventy-two".