432405677260 has 144 divisors (see below), whose sum is σ = 976059528192. Its totient is φ = 160843968000.

The previous prime is 432405677243. The next prime is 432405677261. The reversal of 432405677260 is 62776504234.

It is a super-2 number, since 2×432405677260² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 432405677260.

It is not an unprimeable number, because it can be changed into a prime (432405677261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375677685 + ... + 375678835.

It is an arithmetic number, because the mean of its divisors is an integer number (6778191168).

Almost surely, 2^432405677260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432405677260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488029764096).

432405677260 is an abundant number, since it is smaller than the sum of its proper divisors (543653850932).

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

432405677260 is a wasteful number, since it uses less digits than its factorization.

432405677260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 46.

The spelling of 432405677260 in words is "four hundred thirty-two billion, four hundred five million, six hundred seventy-seven thousand, two hundred sixty".