442680560 has 40 divisors (see below), whose sum is σ = 1176266976. Its totient is φ = 151776000.

The previous prime is 442680559. The next prime is 442680607. The reversal of 442680560 is 65086244.

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

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 442680560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394691 + ... + 395810.

Almost surely, 2^442680560 is an apocalyptic number.

442680560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442680560 is an abundant number, since it is smaller than the sum of its proper divisors (733586416).

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

442680560 is a wasteful number, since it uses less digits than its factorization.

442680560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790521 (or 790515 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 442680560 is about 21039.9752851566. The cubic root of 442680560 is about 762.1319180174.

The spelling of 442680560 in words is "four hundred forty-two million, six hundred eighty thousand, five hundred sixty".