432001024 has 208 divisors, whose sum is σ = 1137566080. Its totient is φ = 159252480.

The previous prime is 432001013. The next prime is 432001049. The reversal of 432001024 is 420100234.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 432000989 and 432001007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7081954 + ... + 7082014.

Almost surely, 2^432001024 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 432001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568783040).

432001024 is an abundant number, since it is smaller than the sum of its proper divisors (705565056).

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

432001024 is a wasteful number, since it uses less digits than its factorization.

432001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 432001024 is about 20784.6343244234. The cubic root of 432001024 is about 755.9532272324.

Adding to 432001024 its reverse (420100234), we get a palindrome (852101258).

The spelling of 432001024 in words is "four hundred thirty-two million, one thousand, twenty-four".