442263040 has 40 divisors (see below), whose sum is σ = 1060400880. Its totient is φ = 176904192.

The previous prime is 442263001. The next prime is 442263049. The reversal of 442263040 is 40362244.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 442262996 and 442263014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442263049) 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 3 ways as a sum of consecutive naturals, for example, 83820 + ... + 88939.

It is an arithmetic number, because the mean of its divisors is an integer number (26510022).

Almost surely, 2^442263040 is an apocalyptic number.

442263040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442263040 is an abundant number, since it is smaller than the sum of its proper divisors (618137840).

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

442263040 is an equidigital number, since it uses as much as digits as its factorization.

442263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172782 (or 172766 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 442263040 is about 21030.0508796341. The cubic root of 442263040 is about 761.8922377306.

The spelling of 442263040 in words is "four hundred forty-two million, two hundred sixty-three thousand, forty".