432565640 has 96 divisors (see below), whose sum is σ = 1072197000. Its totient is φ = 156948480.

The previous prime is 432565613. The next prime is 432565673. The reversal of 432565640 is 46565234.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 7628644 + 424936996 = 2762^2 + 20614^2 .

It is a super-2 number, since 2×432565640² = 374226065817219200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 432565640.

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, 411836 + ... + 412884.

Almost surely, 2^432565640 is an apocalyptic number.

432565640 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 432565640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536098500).

432565640 is an abundant number, since it is smaller than the sum of its proper divisors (639631360).

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

432565640 is a wasteful number, since it uses less digits than its factorization.

432565640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The square root of 432565640 is about 20798.2124231868. The cubic root of 432565640 is about 756.2824220328.

The spelling of 432565640 in words is "four hundred thirty-two million, five hundred sixty-five thousand, six hundred forty".