432820144460 has 48 divisors (see below), whose sum is σ = 1010260151712. Its totient is φ = 154419532800.

The previous prime is 432820144441. The next prime is 432820144481. The reversal of 432820144460 is 64441028234.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18548381 + ... + 18571700.

It is an arithmetic number, because the mean of its divisors is an integer number (21047086494).

Almost surely, 2^432820144460 is an apocalyptic number.

It is an amenable number.

432820144460 is an abundant number, since it is smaller than the sum of its proper divisors (577440007252).

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

432820144460 is a wasteful number, since it uses less digits than its factorization.

432820144460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37120154 (or 37120152 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The spelling of 432820144460 in words is "four hundred thirty-two billion, eight hundred twenty million, one hundred forty-four thousand, four hundred sixty".