445201920 has 400 divisors, whose sum is σ = 1693351440. Its totient is φ = 111476736.

The previous prime is 445201873. The next prime is 445201921. The reversal of 445201920 is 29102544.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445201921) 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 39 ways as a sum of consecutive naturals, for example, 3939784 + ... + 3939896.

Almost surely, 2^445201920 is an apocalyptic number.

445201920 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 445201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846675720).

445201920 is an abundant number, since it is smaller than the sum of its proper divisors (1248149520).

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

445201920 is a wasteful number, since it uses less digits than its factorization.

445201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

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

The square root of 445201920 is about 21099.8085299369. The cubic root of 445201920 is about 763.5761288296.

The spelling of 445201920 in words is "four hundred forty-five million, two hundred one thousand, nine hundred twenty".