432803280 has 480 divisors, whose sum is σ = 1781136000. Its totient is φ = 85929984.

The previous prime is 432803263. The next prime is 432803303. The reversal of 432803280 is 82308234.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2904646 + ... + 2904794.

It is an arithmetic number, because the mean of its divisors is an integer number (3710700).

Almost surely, 2^432803280 is an apocalyptic number.

432803280 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 432803280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890568000).

432803280 is an abundant number, since it is smaller than the sum of its proper divisors (1348332720).

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

432803280 is a wasteful number, since it uses less digits than its factorization.

432803280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 432803280 is about 20803.9246297423. The cubic root of 432803280 is about 756.4208904613.

The spelling of 432803280 in words is "four hundred thirty-two million, eight hundred three thousand, two hundred eighty".