432278880 has 384 divisors, whose sum is σ = 1625702400. Its totient is φ = 95385600.

The previous prime is 432278837. The next prime is 432278897. The reversal of 432278880 is 88872234.

It is a super-3 number, since 3×432278880³ (a number of 27 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 3109851 + ... + 3109989.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 2^432278880 is an apocalyptic number.

432278880 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 432278880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812851200).

432278880 is an abundant number, since it is smaller than the sum of its proper divisors (1193423520).

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

432278880 is a wasteful number, since it uses less digits than its factorization.

432278880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 432278880 is about 20791.3174185764. The cubic root of 432278880 is about 756.1152647520.

The spelling of 432278880 in words is "four hundred thirty-two million, two hundred seventy-eight thousand, eight hundred eighty".