442629616 has 120 divisors (see below), whose sum is σ = 1041304880. Its totient is φ = 180956160.

The previous prime is 442629599. The next prime is 442629667. The reversal of 442629616 is 616926244.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1082020 + ... + 1082428.

Almost surely, 2^442629616 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 442629616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520652440).

442629616 is an abundant number, since it is smaller than the sum of its proper divisors (598675264).

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

442629616 is a wasteful number, since it uses less digits than its factorization.

442629616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 478 counting only the distinct ones).

The product of its digits is 124416, while the sum is 40.

The square root of 442629616 is about 21038.7646025141. The cubic root of 442629616 is about 762.1026813312.

The spelling of 442629616 in words is "four hundred forty-two million, six hundred twenty-nine thousand, six hundred sixteen".