442428672 has 288 divisors, whose sum is σ = 1469325312. Its totient is φ = 115310592.

The previous prime is 442428659. The next prime is 442428673. The reversal of 442428672 is 276824244.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 442428672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442428673) 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, 4295373 + ... + 4295475.

It is an arithmetic number, because the mean of its divisors is an integer number (5101824).

Almost surely, 2^442428672 is an apocalyptic number.

442428672 is a gapful number since it is divisible by the number (42) 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 442428672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734662656).

442428672 is an abundant number, since it is smaller than the sum of its proper divisors (1026896640).

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

442428672 is a wasteful number, since it uses less digits than its factorization.

442428672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 179 counting only the distinct ones).

The product of its digits is 172032, while the sum is 39.

The square root of 442428672 is about 21033.9884948148. The cubic root of 442428672 is about 761.9873379865.

The spelling of 442428672 in words is "four hundred forty-two million, four hundred twenty-eight thousand, six hundred seventy-two".