442327536 has 120 divisors (see below), whose sum is σ = 1476334080. Its totient is φ = 120878208.

The previous prime is 442327507. The next prime is 442327537. The reversal of 442327536 is 635723244.

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

It is a self number, because there is not a number n which added to its sum of digits gives 442327536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442327537) 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, 13645 + ... + 32723.

It is an arithmetic number, because the mean of its divisors is an integer number (12302784).

Almost surely, 2^442327536 is an apocalyptic number.

442327536 is a gapful number since it is divisible by the number (46) 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 442327536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738167040).

442327536 is an abundant number, since it is smaller than the sum of its proper divisors (1034006544).

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

442327536 is a wasteful number, since it uses less digits than its factorization.

442327536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19123 (or 19114 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 442327536 is about 21031.5842484583. The cubic root of 442327536 is about 761.9292719605.

The spelling of 442327536 in words is "four hundred forty-two million, three hundred twenty-seven thousand, five hundred thirty-six".