442437696 has 168 divisors, whose sum is σ = 1321856640. Its totient is φ = 141382656.

The previous prime is 442437691. The next prime is 442437713. The reversal of 442437696 is 696734244.

It is a happy number.

It is a super-2 number, since 2×442437696² = 391502229683576832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442437691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1597110 + ... + 1597386.

Almost surely, 2^442437696 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 442437696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660928320).

442437696 is an abundant number, since it is smaller than the sum of its proper divisors (879418944).

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

442437696 is a wasteful number, since it uses less digits than its factorization.

442437696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 388 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 442437696 is about 21034.2030036795. The cubic root of 442437696 is about 761.9925185783.

The spelling of 442437696 in words is "four hundred forty-two million, four hundred thirty-seven thousand, six hundred ninety-six".