442481481 has 64 divisors (see below), whose sum is σ = 760883200. Its totient is φ = 251802432.

The previous prime is 442481477. The next prime is 442481489. The reversal of 442481481 is 184184244.

It is not a de Polignac number, because 442481481 - 2² = 442481477 is a prime.

It is a super-2 number, since 2×442481481² = 391579722055906722, which contains 22 as substring.

It is a Duffinian number.

442481481 is a modest number, since divided by 481481 gives 442 as remainder.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (442481489) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285996 + ... + 287538.

It is an arithmetic number, because the mean of its divisors is an integer number (11888800).

Almost surely, 2^442481481 is an apocalyptic number.

It is an amenable number.

442481481 is a deficient number, since it is larger than the sum of its proper divisors (318401719).

442481481 is a wasteful number, since it uses less digits than its factorization.

442481481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1621 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 442481481 is about 21035.2437827566. The cubic root of 442481481 is about 762.0176541263.

It can be divided in two parts, 4424 and 81481, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 442481481 in words is "four hundred forty-two million, four hundred eighty-one thousand, four hundred eighty-one".