442653932232 has 108 divisors (see below), whose sum is σ = 1213853837235. Its totient is φ = 145727831040.

The previous prime is 442653932221. The next prime is 442653932261. The reversal of 442653932232 is 232239356244.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

442653932232 is a `hidden beast` number, since 4 + 4 + 26 + 5 + 393 + 2 + 232 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 4444355556 + 438209576676 = 66666^2 + 661974^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=470454.

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 26 ways as a sum of consecutive naturals, for example, 502444432 + ... + 502445312.

Almost surely, 2^442653932232 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 442653932232

442653932232 is an abundant number, since it is smaller than the sum of its proper divisors (771199905003).

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

442653932232 is an frugal number, since it uses more digits than its factorization.

442653932232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 975 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 45.

The spelling of 442653932232 in words is "four hundred forty-two billion, six hundred fifty-three million, nine hundred thirty-two thousand, two hundred thirty-two".