432099545460 has 192 divisors, whose sum is σ = 1406076779520. Its totient is φ = 98042296320.

The previous prime is 432099545443. The next prime is 432099545597. The reversal of 432099545460 is 64545990234.

It is a super-2 number, since 2×432099545460² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 833244 + ... + 1248396.

It is an arithmetic number, because the mean of its divisors is an integer number (7323316560).

Almost surely, 2^432099545460 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 432099545460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703038389760).

432099545460 is an abundant number, since it is smaller than the sum of its proper divisors (973977234060).

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

432099545460 is a wasteful number, since it uses less digits than its factorization.

432099545460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415278 (or 415276 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 432099545460 in words is "four hundred thirty-two billion, ninety-nine million, five hundred forty-five thousand, four hundred sixty".