442056528 has 100 divisors (see below), whose sum is σ = 1320832128. Its totient is φ = 142585920.

The previous prime is 442056523. The next prime is 442056539. The reversal of 442056528 is 825650244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 442056492 and 442056501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442056521) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34675 + ... + 45677.

Almost surely, 2^442056528 is an apocalyptic number.

442056528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442056528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660416064).

442056528 is an abundant number, since it is smaller than the sum of its proper divisors (878775600).

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

442056528 is a wasteful number, since it uses less digits than its factorization.

442056528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11054 (or 11039 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 442056528 is about 21025.1403800308. The cubic root of 442056528 is about 761.7736323069.

The spelling of 442056528 in words is "four hundred forty-two million, fifty-six thousand, five hundred twenty-eight".