442351416 has 96 divisors (see below), whose sum is σ = 1205867520. Its totient is φ = 135158400.

The previous prime is 442351397. The next prime is 442351421. The reversal of 442351416 is 614153244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 774411 + ... + 774981.

It is an arithmetic number, because the mean of its divisors is an integer number (12561120).

Almost surely, 2^442351416 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 442351416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602933760).

442351416 is an abundant number, since it is smaller than the sum of its proper divisors (763516104).

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

442351416 is a wasteful number, since it uses less digits than its factorization.

442351416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 780 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 442351416 is about 21032.1519583708. The cubic root of 442351416 is about 761.9429831753.

The spelling of 442351416 in words is "four hundred forty-two million, three hundred fifty-one thousand, four hundred sixteen".