442311520 has 96 divisors (see below), whose sum is σ = 1209600000. Its totient is φ = 149700096.

The previous prime is 442311511. The next prime is 442311523. The reversal of 442311520 is 25113244.

It is a junction number, because it is equal to n+sod(n) for n = 442311491 and 442311500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442311523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85981 + ... + 90979.

It is an arithmetic number, because the mean of its divisors is an integer number (12600000).

Almost surely, 2^442311520 is an apocalyptic number.

442311520 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 442311520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800000).

442311520 is an abundant number, since it is smaller than the sum of its proper divisors (767288480).

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

442311520 is a wasteful number, since it uses less digits than its factorization.

442311520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 442311520 is about 21031.2034843468. The cubic root of 442311520 is about 761.9200757537.

Adding to 442311520 its reverse (25113244), we get a palindrome (467424764).

The spelling of 442311520 in words is "four hundred forty-two million, three hundred eleven thousand, five hundred twenty".