442826752 has 68 divisors (see below), whose sum is σ = 920118420. Its totient is φ = 212860928.

The previous prime is 442826731. The next prime is 442826759. The reversal of 442826752 is 257628244.

It can be written as a sum of positive squares in 2 ways, for example, as 157351936 + 285474816 = 12544^2 + 16896^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442826759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1900428 + ... + 1900660.

Almost surely, 2^442826752 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 442826752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460059210).

442826752 is an abundant number, since it is smaller than the sum of its proper divisors (477291668).

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

442826752 is an frugal number, since it uses more digits than its factorization.

442826752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 264 counting only the distinct ones).

The product of its digits is 215040, while the sum is 40.

The square root of 442826752 is about 21043.4491469436. The cubic root of 442826752 is about 762.2158049378.

The spelling of 442826752 in words is "four hundred forty-two million, eight hundred twenty-six thousand, seven hundred fifty-two".