445868800 has 216 divisors, whose sum is σ = 1245482784. Its totient is φ = 156794880.

The previous prime is 445868783. The next prime is 445868803. The reversal of 445868800 is 8868544.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445868803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1913484 + ... + 1913716.

It is an arithmetic number, because the mean of its divisors is an integer number (5766124).

Almost surely, 2^445868800 is an apocalyptic number.

445868800 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 445868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622741392).

445868800 is an abundant number, since it is smaller than the sum of its proper divisors (799613984).

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

445868800 is a wasteful number, since it uses less digits than its factorization.

445868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 43.

The square root of 445868800 is about 21115.6056034394. The cubic root of 445868800 is about 763.9571990678.

The spelling of 445868800 in words is "four hundred forty-five million, eight hundred sixty-eight thousand, eight hundred".