432288480 has 216 divisors, whose sum is σ = 1494988488. Its totient is φ = 104951808.

The previous prime is 432288449. The next prime is 432288481. The reversal of 432288480 is 84882234.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432288481) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5921724 + ... + 5921796.

It is an arithmetic number, because the mean of its divisors is an integer number (6921243).

Almost surely, 2^432288480 is an apocalyptic number.

432288480 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 432288480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747494244).

432288480 is an abundant number, since it is smaller than the sum of its proper divisors (1062700008).

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

432288480 is a wasteful number, since it uses less digits than its factorization.

432288480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 432288480 is about 20791.5482828961. The cubic root of 432288480 is about 756.1208619511.

The spelling of 432288480 in words is "four hundred thirty-two million, two hundred eighty-eight thousand, four hundred eighty".