442005120 has 128 divisors (see below), whose sum is σ = 1565496000. Its totient is φ = 117863424.

The previous prime is 442005103. The next prime is 442005131. The reversal of 442005120 is 21500244.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×442005120² = 390737052212428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 442005093 and 442005102.

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, 4491 + ... + 30069.

Almost surely, 2^442005120 is an apocalyptic number.

442005120 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 442005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782748000).

442005120 is an abundant number, since it is smaller than the sum of its proper divisors (1123490880).

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

442005120 is a wasteful number, since it uses less digits than its factorization.

442005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25607 (or 25589 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 442005120 is about 21023.9178080585. The cubic root of 442005120 is about 761.7441015610.

Adding to 442005120 its reverse (21500244), we get a palindrome (463505364).

The spelling of 442005120 in words is "four hundred forty-two million, five thousand, one hundred twenty".