442641060 has 72 divisors (see below), whose sum is σ = 1345865976. Its totient is φ = 117757440.

The previous prime is 442641037. The next prime is 442641083. The reversal of 442641060 is 60146244.

It is an interprime number because it is at equal distance from previous prime (442641037) and next prime (442641083).

It can be written as a sum of positive squares in 4 ways, for example, as 79281216 + 363359844 = 8904^2 + 19062^2 .

It is a super-2 number, since 2×442641060² = 391862215995847200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79570 + ... + 84950.

It is an arithmetic number, because the mean of its divisors is an integer number (18692583).

Almost surely, 2^442641060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442641060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672932988).

442641060 is an abundant number, since it is smaller than the sum of its proper divisors (903224916).

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

442641060 is a wasteful number, since it uses less digits than its factorization.

442641060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5853 (or 5848 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 442641060 is about 21039.0365749005. The cubic root of 442641060 is about 762.1092492212.

The spelling of 442641060 in words is "four hundred forty-two million, six hundred forty-one thousand, sixty".