442980720 has 240 divisors, whose sum is σ = 1831257792. Its totient is φ = 93450240.

The previous prime is 442980689. The next prime is 442980721. The reversal of 442980720 is 27089244.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442980721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62140 + ... + 68900.

Almost surely, 2^442980720 is an apocalyptic number.

442980720 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 442980720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915628896).

442980720 is an abundant number, since it is smaller than the sum of its proper divisors (1388277072).

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

442980720 is a wasteful number, since it uses less digits than its factorization.

442980720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6800 (or 6791 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 442980720 is about 21047.1071646438. The cubic root of 442980720 is about 762.3041338713.

The spelling of 442980720 in words is "four hundred forty-two million, nine hundred eighty thousand, seven hundred twenty".