445132000 has 96 divisors (see below), whose sum is σ = 1151448480. Its totient is φ = 168652800.

The previous prime is 445131997. The next prime is 445132013. The reversal of 445132000 is 231544.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 73072 + ... + 78928.

It is an arithmetic number, because the mean of its divisors is an integer number (11994255).

Almost surely, 2^445132000 is an apocalyptic number.

445132000 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 445132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575724240).

445132000 is an abundant number, since it is smaller than the sum of its proper divisors (706316480).

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

445132000 is a wasteful number, since it uses less digits than its factorization.

445132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5901 (or 5883 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 445132000 is about 21098.1515778042. The cubic root of 445132000 is about 763.5361529327.

Adding to 445132000 its reverse (231544), we get a palindrome (445363544).

The spelling of 445132000 in words is "four hundred forty-five million, one hundred thirty-two thousand".