445798080 has 672 divisors, whose sum is σ = 1994489280. Its totient is φ = 94058496.

The previous prime is 445798061. The next prime is 445798097. The reversal of 445798080 is 80897544.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34292154 + ... + 34292166.

It is an arithmetic number, because the mean of its divisors is an integer number (2967990).

Almost surely, 2^445798080 is an apocalyptic number.

445798080 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 445798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997244640).

445798080 is an abundant number, since it is smaller than the sum of its proper divisors (1548691200).

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

445798080 is an equidigital number, since it uses as much as digits as its factorization.

445798080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 445798080 is about 21113.9309461786. The cubic root of 445798080 is about 763.9168060869.

The spelling of 445798080 in words is "four hundred forty-five million, seven hundred ninety-eight thousand, eighty".