442679328 has 432 divisors, whose sum is σ = 1673118720. Its totient is φ = 109734912.

The previous prime is 442679327. The next prime is 442679329. The reversal of 442679328 is 823976244.

It is an interprime number because it is at equal distance from previous prime (442679327) and next prime (442679329).

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

Its product of digits (580608) is a multiple of the sum of its prime factors (189).

It is not an unprimeable number, because it can be changed into a prime (442679327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3485601 + ... + 3485727.

It is an arithmetic number, because the mean of its divisors is an integer number (3872960).

Almost surely, 2^442679328 is an apocalyptic number.

442679328 is a gapful number since it is divisible by the number (48) 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 442679328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836559360).

442679328 is an abundant number, since it is smaller than the sum of its proper divisors (1230439392).

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

442679328 is a wasteful number, since it uses less digits than its factorization.

442679328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 171 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 442679328 is about 21039.9460075353. The cubic root of 442679328 is about 762.1312110009.

The spelling of 442679328 in words is "four hundred forty-two million, six hundred seventy-nine thousand, three hundred twenty-eight".