442179640 has 64 divisors (see below), whose sum is σ = 1147737600. Its totient is φ = 150177408.

The previous prime is 442179613. The next prime is 442179659. The reversal of 442179640 is 46971244.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 442179640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22581 + ... + 37339.

It is an arithmetic number, because the mean of its divisors is an integer number (17933400).

Almost surely, 2^442179640 is an apocalyptic number.

442179640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442179640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573868800).

442179640 is an abundant number, since it is smaller than the sum of its proper divisors (705557960).

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

442179640 is a wasteful number, since it uses less digits than its factorization.

442179640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14884 (or 14880 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 442179640 is about 21028.0679093444. The cubic root of 442179640 is about 761.8443433017.

The spelling of 442179640 in words is "four hundred forty-two million, one hundred seventy-nine thousand, six hundred forty".