442210560 has 432 divisors, whose sum is σ = 1682130240. Its totient is φ = 98058240.

The previous prime is 442210553. The next prime is 442210577. The reversal of 442210560 is 65012244.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 442210560.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15248626 + ... + 15248654.

It is an arithmetic number, because the mean of its divisors is an integer number (3893820).

Almost surely, 2^442210560 is an apocalyptic number.

442210560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841065120).

442210560 is an abundant number, since it is smaller than the sum of its proper divisors (1239919680).

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

442210560 is a wasteful number, since it uses less digits than its factorization.

442210560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 442210560 is about 21028.8031043139. The cubic root of 442210560 is about 761.8621005478.

The spelling of 442210560 in words is "four hundred forty-two million, two hundred ten thousand, five hundred sixty".