432444240 has 120 divisors (see below), whose sum is σ = 1456109928. Its totient is φ = 115015680.

The previous prime is 432444223. The next prime is 432444251. The reversal of 432444240 is 42444234.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32764176 + 399680064 = 5724^2 + 19992^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 461052 + ... + 461988.

Almost surely, 2^432444240 is an apocalyptic number.

432444240 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 432444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728054964).

432444240 is an abundant number, since it is smaller than the sum of its proper divisors (1023665688).

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

432444240 is a wasteful number, since it uses less digits than its factorization.

432444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 432444240 is about 20795.2936983347. The cubic root of 432444240 is about 756.2116649284.

Adding to 432444240 its reverse (42444234), we get a palindrome (474888474).

The spelling of 432444240 in words is "four hundred thirty-two million, four hundred forty-four thousand, two hundred forty".