445531504 has 80 divisors (see below), whose sum is σ = 998793216. Its totient is φ = 190598400.

The previous prime is 445531469. The next prime is 445531507. The reversal of 445531504 is 405135544.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445531507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200769 + ... + 202975.

Almost surely, 2^445531504 is an apocalyptic number.

445531504 is a gapful number since it is divisible by the number (44) 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 445531504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499396608).

445531504 is an abundant number, since it is smaller than the sum of its proper divisors (553261712).

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

445531504 is a wasteful number, since it uses less digits than its factorization.

445531504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The square root of 445531504 is about 21107.6172032752. The cubic root of 445531504 is about 763.7645080698.

The spelling of 445531504 in words is "four hundred forty-five million, five hundred thirty-one thousand, five hundred four".