432768000 has 528 divisors, whose sum is σ = 1747384704. Its totient is φ = 94617600.

The previous prime is 432767999. The next prime is 432768043. The reversal of 432768000 is 867234.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18815989 + ... + 18816011.

Almost surely, 2^432768000 is an apocalyptic number.

432768000 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 432768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873692352).

432768000 is an abundant number, since it is smaller than the sum of its proper divisors (1314616704).

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

432768000 is a wasteful number, since it uses less digits than its factorization.

432768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 432768000 is about 20803.0766955275. The cubic root of 432768000 is about 756.4003366628.

It can be divided in two parts, 4327 and 68000, that added together give a palindrome (72327).

The spelling of 432768000 in words is "four hundred thirty-two million, seven hundred sixty-eight thousand".