445536000 has 864 divisors, whose sum is σ = 2089196928. Its totient is φ = 88473600.

The previous prime is 445535969. The next prime is 445536001. The reversal of 445536000 is 635544.

445536000 is a `hidden beast` number, since 4 + 4 + 5 + 53 + 600 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445536001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26207992 + ... + 26208008.

It is an arithmetic number, because the mean of its divisors is an integer number (2418052).

Almost surely, 2^445536000 is an apocalyptic number.

445536000 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 445536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044598464).

445536000 is an abundant number, since it is smaller than the sum of its proper divisors (1643660928).

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

445536000 is a wasteful number, since it uses less digits than its factorization.

445536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 445536000 is about 21107.7237048432. The cubic root of 445536000 is about 763.7670771913.

The spelling of 445536000 in words is "four hundred forty-five million, five hundred thirty-six thousand".