442681600 has 81 divisors (see below), whose sum is σ = 1099888153. Its totient is φ = 176399360.

The previous prime is 442681583. The next prime is 442681601. The reversal of 442681600 is 6186244.

The square root of 442681600 is 21040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 159365376 + 283316224 = 12624^2 + 16832^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442681601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1683069 + ... + 1683331.

Almost surely, 2^442681600 is an apocalyptic number.

442681600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

442681600 is the 21040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442681600

442681600 is an abundant number, since it is smaller than the sum of its proper divisors (657206553).

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

442681600 is an frugal number, since it uses more digits than its factorization.

442681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The cubic root of 442681600 is about 762.1325148485.

Multiplying 442681600 by its product of nonzero digits (9216), we get a square (4079753625600 = 2019840²).

The spelling of 442681600 in words is "four hundred forty-two million, six hundred eighty-one thousand, six hundred".