442813686 has 64 divisors (see below), whose sum is σ = 1043328000. Its totient is φ = 125229888.

The previous prime is 442813681. The next prime is 442813711. The reversal of 442813686 is 686318244.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442813681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210930 + ... + 213018.

It is an arithmetic number, because the mean of its divisors is an integer number (16302000).

Almost surely, 2^442813686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442813686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521664000).

442813686 is an abundant number, since it is smaller than the sum of its proper divisors (600514314).

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

442813686 is a wasteful number, since it uses less digits than its factorization.

442813686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2204 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 442813686 is about 21043.1386917446. The cubic root of 442813686 is about 762.2083082440.

The spelling of 442813686 in words is "four hundred forty-two million, eight hundred thirteen thousand, six hundred eighty-six".