432320000 has 200 divisors, whose sum is σ = 1239990576. Its totient is φ = 147456000.

The previous prime is 432319999. The next prime is 432320011. The reversal of 432320000 is 23234.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2239904 + ... + 2240096.

Almost surely, 2^432320000 is an apocalyptic number.

432320000 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 432320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619995288).

432320000 is an abundant number, since it is smaller than the sum of its proper divisors (807670576).

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

432320000 is an frugal number, since it uses more digits than its factorization.

432320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 432320000 is about 20792.3062693872. The cubic root of 432320000 is about 756.1392388386.

Adding to 432320000 its reverse (23234), we get a palindrome (432343234).

The spelling of 432320000 in words is "four hundred thirty-two million, three hundred twenty thousand".