445964808000 has 448 divisors, whose sum is σ = 1641289478400. Its totient is φ = 106035609600.

The previous prime is 445964807989. The next prime is 445964808061. The reversal of 445964808000 is 808469544.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7723236 + ... + 7780764.

Almost surely, 2^445964808000 is an apocalyptic number.

445964808000 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 445964808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820644739200).

445964808000 is an abundant number, since it is smaller than the sum of its proper divisors (1195324670400).

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

445964808000 is a wasteful number, since it uses less digits than its factorization.

445964808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57595 (or 57575 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 445964808000 in words is "four hundred forty-five billion, nine hundred sixty-four million, eight hundred eight thousand".