442686528 has 168 divisors, whose sum is σ = 1370475288. Its totient is φ = 136101888.

The previous prime is 442686523. The next prime is 442686571. The reversal of 442686528 is 825686244.

442686528 is a `hidden beast` number, since 4 + 42 + 6 + 86 + 528 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61968384 + 380718144 = 7872^2 + 19512^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442686521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 518550 + ... + 519402.

It is an arithmetic number, because the mean of its divisors is an integer number (8157591).

Almost surely, 2^442686528 is an apocalyptic number.

442686528 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 442686528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685237644).

442686528 is an abundant number, since it is smaller than the sum of its proper divisors (927788760).

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

442686528 is a wasteful number, since it uses less digits than its factorization.

442686528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 928 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 442686528 is about 21040.1171099402. The cubic root of 442686528 is about 762.1353428970.

The spelling of 442686528 in words is "four hundred forty-two million, six hundred eighty-six thousand, five hundred twenty-eight".