442801080 has 160 divisors (see below), whose sum is σ = 1566853200. Its totient is φ = 111849984.

The previous prime is 442801049. The next prime is 442801081. The reversal of 442801080 is 80108244.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442801081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57964 + ... + 65156.

Almost surely, 2^442801080 is an apocalyptic number.

442801080 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 442801080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783426600).

442801080 is an abundant number, since it is smaller than the sum of its proper divisors (1124052120).

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

442801080 is a wasteful number, since it uses less digits than its factorization.

442801080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7235 (or 7222 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 442801080 is about 21042.8391620523. The cubic root of 442801080 is about 762.2010753382.

The spelling of 442801080 in words is "four hundred forty-two million, eight hundred one thousand, eighty".