442341520 has 80 divisors (see below), whose sum is σ = 1078002432. Its totient is φ = 168481280.

The previous prime is 442341517. The next prime is 442341521. The reversal of 442341520 is 25143244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (442341521) 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, 571854 + ... + 572626.

Almost surely, 2^442341520 is an apocalyptic number.

442341520 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 442341520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539001216).

442341520 is an abundant number, since it is smaller than the sum of its proper divisors (635660912).

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

442341520 is a wasteful number, since it uses less digits than its factorization.

442341520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 442341520 is about 21031.9166981994. The cubic root of 442341520 is about 761.9373012343.

Adding to 442341520 its reverse (25143244), we get a palindrome (467484764).

It can be divided in two parts, 44234 and 1520, that added together give a palindrome (45754).

The spelling of 442341520 in words is "four hundred forty-two million, three hundred forty-one thousand, five hundred twenty".