442717002 has 160 divisors (see below), whose sum is σ = 1244073600. Its totient is φ = 114556032.

The previous prime is 442716997. The next prime is 442717031. The reversal of 442717002 is 200717244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 869524 + ... + 870032.

It is an arithmetic number, because the mean of its divisors is an integer number (7775460).

Almost surely, 2^442717002 is an apocalyptic number.

442717002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 442717002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622036800).

442717002 is an abundant number, since it is smaller than the sum of its proper divisors (801356598).

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

442717002 is a wasteful number, since it uses less digits than its factorization.

442717002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 442717002 is about 21040.8412854619. The cubic root of 442717002 is about 762.1528306512.

The spelling of 442717002 in words is "four hundred forty-two million, seven hundred seventeen thousand, two".