432640000 has 195 divisors, whose sum is σ = 1170682293. Its totient is φ = 159744000.

The previous prime is 432639989. The next prime is 432640003. The reversal of 432640000 is 46234.

The square root of 432640000 is 20800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 427331584 + 5308416 = 20672^2 + 2304^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 432640000.

It is not an unprimeable number, because it can be changed into a prime (432640003) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 33279994 + ... + 33280006.

Almost surely, 2^432640000 is an apocalyptic number.

432640000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

432640000 is the 20800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432640000

432640000 is an abundant number, since it is smaller than the sum of its proper divisors (738042293).

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

432640000 is an frugal number, since it uses more digits than its factorization.

432640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The cubic root of 432640000 is about 756.3257556786.

Multiplying 432640000 by its product of nonzero digits (576), we get a square (249200640000 = 499200²).

Adding to 432640000 its reverse (46234), we get a palindrome (432686234).

The spelling of 432640000 in words is "four hundred thirty-two million, six hundred forty thousand".