445003553280 has 960 divisors, whose sum is σ = 1708064962560. Its totient is φ = 97955020800.

The previous prime is 445003553279. The next prime is 445003553311. The reversal of 445003553280 is 82355300544.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 95 ways as a sum of consecutive naturals, for example, 1013675301 + ... + 1013675739.

It is an arithmetic number, because the mean of its divisors is an integer number (1779234336).

Almost surely, 2^445003553280 is an apocalyptic number.

445003553280 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 445003553280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854032481280).

445003553280 is an abundant number, since it is smaller than the sum of its proper divisors (1263061409280).

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

445003553280 is a wasteful number, since it uses less digits than its factorization.

445003553280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 445003553280 in words is "four hundred forty-five billion, three million, five hundred fifty-three thousand, two hundred eighty".