445084474080 has 192 divisors, whose sum is σ = 1482543046656. Its totient is φ = 112058880000.

The previous prime is 445084474073. The next prime is 445084474127. The reversal of 445084474080 is 80474480544.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245305 + ... + 974855.

It is an arithmetic number, because the mean of its divisors is an integer number (7721578368).

Almost surely, 2^445084474080 is an apocalyptic number.

445084474080 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 445084474080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741271523328).

445084474080 is an abundant number, since it is smaller than the sum of its proper divisors (1037458572576).

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

445084474080 is a wasteful number, since it uses less digits than its factorization.

445084474080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729641 (or 729633 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 48.

The spelling of 445084474080 in words is "four hundred forty-five billion, eighty-four million, four hundred seventy-four thousand, eighty".