432405888 has 128 divisors (see below), whose sum is σ = 1209703680. Its totient is φ = 136587264.

The previous prime is 432405859. The next prime is 432405889. The reversal of 432405888 is 888504234.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432405889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1527795 + ... + 1528077.

It is an arithmetic number, because the mean of its divisors is an integer number (9450810).

Almost surely, 2^432405888 is an apocalyptic number.

432405888 is a gapful number since it is divisible by the number (48) 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 432405888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604851840).

432405888 is an abundant number, since it is smaller than the sum of its proper divisors (777297792).

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

432405888 is a wasteful number, since it uses less digits than its factorization.

432405888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 432405888 is about 20794.3715461660. The cubic root of 432405888 is about 756.1893089924.

The spelling of 432405888 in words is "four hundred thirty-two million, four hundred five thousand, eight hundred eighty-eight".