445029120 has 288 divisors, whose sum is σ = 1609036800. Its totient is φ = 116453376.

The previous prime is 445029049. The next prime is 445029121. The reversal of 445029120 is 21920544.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (445029121) 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 31 ways as a sum of consecutive naturals, for example, 2730159 + ... + 2730321.

Almost surely, 2^445029120 is an apocalyptic number.

445029120 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 445029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804518400).

445029120 is an abundant number, since it is smaller than the sum of its proper divisors (1164007680).

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

445029120 is a wasteful number, since it uses less digits than its factorization.

445029120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 445029120 is about 21095.7133086322. The cubic root of 445029120 is about 763.4773249506.

Adding to 445029120 its reverse (21920544), we get a palindrome (466949664).

The spelling of 445029120 in words is "four hundred forty-five million, twenty-nine thousand, one hundred twenty".