442668040 has 16 divisors (see below), whose sum is σ = 996003180. Its totient is φ = 177067200.

The previous prime is 442668029. The next prime is 442668089. The reversal of 442668040 is 40866244.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 407313124 + 35354916 = 20182^2 + 5946^2 .

It is a junction number, because it is equal to n+sod(n) for n = 442667987 and 442668005.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5533311 + ... + 5533390.

Almost surely, 2^442668040 is an apocalyptic number.

442668040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442668040 is an abundant number, since it is smaller than the sum of its proper divisors (553335140).

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

442668040 is a wasteful number, since it uses less digits than its factorization.

442668040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11066712 (or 11066708 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 442668040 is about 21039.6777541863. The cubic root of 442668040 is about 762.1247330158.

The spelling of 442668040 in words is "four hundred forty-two million, six hundred sixty-eight thousand, forty".