442904320 has 72 divisors (see below), whose sum is σ = 1066232160. Its totient is φ = 176271360.

The previous prime is 442904311. The next prime is 442904321. The reversal of 442904320 is 23409244.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442904321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292365 + ... + 293875.

It is an arithmetic number, because the mean of its divisors is an integer number (14808780).

Almost surely, 2^442904320 is an apocalyptic number.

442904320 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 442904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533116080).

442904320 is an abundant number, since it is smaller than the sum of its proper divisors (623327840).

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

442904320 is a wasteful number, since it uses less digits than its factorization.

442904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 442904320 is about 21045.2921101134. The cubic root of 442904320 is about 762.2603069945.

The spelling of 442904320 in words is "four hundred forty-two million, nine hundred four thousand, three hundred twenty".