445036032 has 360 divisors, whose sum is σ = 1570665096. Its totient is φ = 125411328.

The previous prime is 445036019. The next prime is 445036051. The reversal of 445036032 is 230630544.

445036032 is a `hidden beast` number, since 4 + 4 + 50 + 3 + 603 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 445035987 and 445036005.

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 35 ways as a sum of consecutive naturals, for example, 6096348 + ... + 6096420.

Almost surely, 2^445036032 is an apocalyptic number.

445036032 is a gapful number since it is divisible by the number (42) 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 445036032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785332548).

445036032 is an abundant number, since it is smaller than the sum of its proper divisors (1125629064).

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

445036032 is an frugal number, since it uses more digits than its factorization.

445036032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 445036032 is about 21095.8771327480. The cubic root of 445036032 is about 763.4812775968.

Adding to 445036032 its reverse (230630544), we get a palindrome (675666576).

The spelling of 445036032 in words is "four hundred forty-five million, thirty-six thousand, thirty-two".