432579440 has 20 divisors (see below), whose sum is σ = 1005747384. Its totient is φ = 173031744.

The previous prime is 432579439. The next prime is 432579449. The reversal of 432579440 is 44975234.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 432579394 and 432579403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432579449) 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 3 ways as a sum of consecutive naturals, for example, 2703542 + ... + 2703701.

Almost surely, 2^432579440 is an apocalyptic number.

432579440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432579440 is an abundant number, since it is smaller than the sum of its proper divisors (573167944).

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

432579440 is a wasteful number, since it uses less digits than its factorization.

432579440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5407256 (or 5407250 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 432579440 is about 20798.5441798218. The cubic root of 432579440 is about 756.2904644241.

The spelling of 432579440 in words is "four hundred thirty-two million, five hundred seventy-nine thousand, four hundred forty".