445824000 has 440 divisors, whose sum is σ = 1700123568. Its totient is φ = 116121600.

The previous prime is 445823977. The next prime is 445824007. The reversal of 445824000 is 428544.

445824000 is a `hidden beast` number, since 44 + 582 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445824007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10367979 + ... + 10368021.

Almost surely, 2^445824000 is an apocalyptic number.

445824000 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 445824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850061784).

445824000 is an abundant number, since it is smaller than the sum of its proper divisors (1254299568).

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

445824000 is an equidigital number, since it uses as much as digits as its factorization.

445824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 445824000 is about 21114.5447500059. The cubic root of 445824000 is about 763.9316112500.

The spelling of 445824000 in words is "four hundred forty-five million, eight hundred twenty-four thousand".