432432000 has 1024 divisors, whose sum is σ = 2138572800. Its totient is φ = 82944000.

The previous prime is 432431999. The next prime is 432432031. The reversal of 432432000 is 234234.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33263994 + ... + 33264006.

It is an arithmetic number, because the mean of its divisors is an integer number (2088450).

Almost surely, 2^432432000 is an apocalyptic number.

432432000 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 432432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069286400).

432432000 is an abundant number, since it is smaller than the sum of its proper divisors (1706140800).

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

432432000 is a wasteful number, since it uses less digits than its factorization.

432432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 432432000 is about 20794.9993988940. Note that the first 3 decimals coincide. The cubic root of 432432000 is about 756.2045301988.

Adding to 432432000 its reverse (234234), we get a palindrome (432666234).

The spelling of 432432000 in words is "four hundred thirty-two million, four hundred thirty-two thousand".