432441040 has 40 divisors (see below), whose sum is σ = 1040100840. Its totient is φ = 167010816.

The previous prime is 432441029. The next prime is 432441047. The reversal of 432441040 is 40144234.

It can be written as a sum of positive squares in 4 ways, for example, as 12027024 + 420414016 = 3468^2 + 20504^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432441047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 90879 + ... + 95518.

It is an arithmetic number, because the mean of its divisors is an integer number (26002521).

Almost surely, 2^432441040 is an apocalyptic number.

432441040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432441040 is an abundant number, since it is smaller than the sum of its proper divisors (607659800).

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

432441040 is a wasteful number, since it uses less digits than its factorization.

432441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186439 (or 186433 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 432441040 is about 20795.2167577066. The cubic root of 432441040 is about 756.2097996526.

Adding to 432441040 its reverse (40144234), we get a palindrome (472585274).

The spelling of 432441040 in words is "four hundred thirty-two million, four hundred forty-one thousand, forty".