442033524 has 168 divisors, whose sum is σ = 1266454728. Its totient is φ = 134369280.

The previous prime is 442033523. The next prime is 442033531. The reversal of 442033524 is 425330244.

It can be written as a sum of positive squares in 4 ways, for example, as 271260900 + 170772624 = 16470^2 + 13068^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442033523) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1834044 + ... + 1834284.

It is an arithmetic number, because the mean of its divisors is an integer number (7538421).

Almost surely, 2^442033524 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 442033524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633227364).

442033524 is an abundant number, since it is smaller than the sum of its proper divisors (824421204).

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

442033524 is a wasteful number, since it uses less digits than its factorization.

442033524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 442033524 is about 21024.5933135459. The cubic root of 442033524 is about 761.7604182015.

Adding to 442033524 its reverse (425330244), we get a palindrome (867363768).

The spelling of 442033524 in words is "four hundred forty-two million, thirty-three thousand, five hundred twenty-four".