432550720 has 224 divisors, whose sum is σ = 1284256512. Its totient is φ = 135364608.

The previous prime is 432550711. The next prime is 432550721. The reversal of 432550720 is 27055234.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432550721) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1408807 + ... + 1409113.

It is an arithmetic number, because the mean of its divisors is an integer number (5733288).

Almost surely, 2^432550720 is an apocalyptic number.

432550720 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 432550720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642128256).

432550720 is an abundant number, since it is smaller than the sum of its proper divisors (851705792).

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

432550720 is a wasteful number, since it uses less digits than its factorization.

432550720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 432550720 is about 20797.8537354218. The cubic root of 432550720 is about 756.2737267332.

The spelling of 432550720 in words is "four hundred thirty-two million, five hundred fifty thousand, seven hundred twenty".