445248000 has 240 divisors, whose sum is σ = 1605774456. Its totient is φ = 118579200.

The previous prime is 445247989. The next prime is 445248017. The reversal of 445248000 is 842544.

It can be written as a sum of positive squares in 4 ways, for example, as 40755456 + 404492544 = 6384^2 + 20112^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 575614 + ... + 576386.

Almost surely, 2^445248000 is an apocalyptic number.

445248000 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 445248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802887228).

445248000 is an abundant number, since it is smaller than the sum of its proper divisors (1160526456).

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

445248000 is an equidigital number, since it uses as much as digits as its factorization.

445248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 783 counting only the distinct ones).

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

The square root of 445248000 is about 21100.9004547199. The cubic root of 445248000 is about 763.6024722126.

The spelling of 445248000 in words is "four hundred forty-five million, two hundred forty-eight thousand".