442985760 has 480 divisors, whose sum is σ = 1888064640. Its totient is φ = 95551488.

The previous prime is 442985749. The next prime is 442985761. The reversal of 442985760 is 67589244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442985761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1723552 + ... + 1723808.

It is an arithmetic number, because the mean of its divisors is an integer number (3933468).

Almost surely, 2^442985760 is an apocalyptic number.

442985760 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 442985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944032320).

442985760 is an abundant number, since it is smaller than the sum of its proper divisors (1445078880).

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

442985760 is a wasteful number, since it uses less digits than its factorization.

442985760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 442985760 is about 21047.2268957219. The cubic root of 442985760 is about 762.3070248913.

The spelling of 442985760 in words is "four hundred forty-two million, nine hundred eighty-five thousand, seven hundred sixty".