442527040 has 56 divisors (see below), whose sum is σ = 1055720520. Its totient is φ = 176683008.

The previous prime is 442527023. The next prime is 442527047. The reversal of 442527040 is 40725244.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46676224 + 395850816 = 6832^2 + 19896^2 .

It is a super-2 number, since 2×442527040² = 391660362262323200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442527047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246466 + ... + 248254.

Almost surely, 2^442527040 is an apocalyptic number.

442527040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442527040 is an abundant number, since it is smaller than the sum of its proper divisors (613193480).

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

442527040 is a wasteful number, since it uses less digits than its factorization.

442527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

The square root of 442527040 is about 21036.3266755391. The cubic root of 442527040 is about 762.0438063099.

The spelling of 442527040 in words is "four hundred forty-two million, five hundred twenty-seven thousand, forty".