442100032 has 56 divisors (see below), whose sum is σ = 966155040. Its totient is φ = 199042560.

The previous prime is 442100003. The next prime is 442100051. The reversal of 442100032 is 230001244.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 442099979 and 442100015.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 72394 + ... + 78262.

Almost surely, 2^442100032 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 442100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483077520).

442100032 is an abundant number, since it is smaller than the sum of its proper divisors (524055008).

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

442100032 is a wasteful number, since it uses less digits than its factorization.

442100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5999 (or 5989 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 442100032 is about 21026.1749255541. The cubic root of 442100032 is about 761.7986209007.

Adding to 442100032 its reverse (230001244), we get a palindrome (672101276).

The spelling of 442100032 in words is "four hundred forty-two million, one hundred thousand, thirty-two".