442107072 has 140 divisors (see below), whose sum is σ = 1429868616. Its totient is φ = 133954560.

The previous prime is 442107041. The next prime is 442107091. The reversal of 442107072 is 270701244.

It is a happy number.

It is a super-2 number, since 2×442107072² = 390917326224826368, which contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 53148 + ... + 60900.

Almost surely, 2^442107072 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 442107072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714934308).

442107072 is an abundant number, since it is smaller than the sum of its proper divisors (987761544).

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

442107072 is a wasteful number, since it uses less digits than its factorization.

442107072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7788 (or 7769 counting only the distinct ones).

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

The square root of 442107072 is about 21026.3423352708. The cubic root of 442107072 is about 761.8026645058.

The spelling of 442107072 in words is "four hundred forty-two million, one hundred seven thousand, seventy-two".