442011320 has 64 divisors (see below), whose sum is σ = 1015459200. Its totient is φ = 173122560.

The previous prime is 442011313. The next prime is 442011337. The reversal of 442011320 is 23110244.

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, 432410 + ... + 433430.

It is an arithmetic number, because the mean of its divisors is an integer number (15866550).

Almost surely, 2^442011320 is an apocalyptic number.

442011320 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 442011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507729600).

442011320 is an abundant number, since it is smaller than the sum of its proper divisors (573447880).

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

442011320 is a wasteful number, since it uses less digits than its factorization.

442011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 442011320 is about 21024.0652586506. The cubic root of 442011320 is about 761.7476632025.

Adding to 442011320 its reverse (23110244), we get a palindrome (465121564).

The spelling of 442011320 in words is "four hundred forty-two million, eleven thousand, three hundred twenty".