432022000 has 80 divisors (see below), whose sum is σ = 1099706400. Its totient is φ = 163699200.

The previous prime is 432021977. The next prime is 432022009. The reversal of 432022000 is 220234.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432022009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32316 + ... + 43684.

It is an arithmetic number, because the mean of its divisors is an integer number (13746330).

Almost surely, 2^432022000 is an apocalyptic number.

432022000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549853200).

432022000 is an abundant number, since it is smaller than the sum of its proper divisors (667684400).

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

432022000 is a wasteful number, since it uses less digits than its factorization.

432022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11411 (or 11395 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 432022000 is about 20785.1389218355. The cubic root of 432022000 is about 755.9654622483.

Adding to 432022000 its reverse (220234), we get a palindrome (432242234).

The spelling of 432022000 in words is "four hundred thirty-two million, twenty-two thousand".