445120420 has 48 divisors (see below), whose sum is σ = 980325360. Its totient is φ = 169537536.

The previous prime is 445120411. The next prime is 445120421. The reversal of 445120420 is 24021544.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 70930084 + 374190336 = 8422^2 + 19344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 445120391 and 445120400.

It is not an unprimeable number, because it can be changed into a prime (445120421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37084 + ... + 47596.

It is an arithmetic number, because the mean of its divisors is an integer number (20423445).

Almost surely, 2^445120420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445120420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490162680).

445120420 is an abundant number, since it is smaller than the sum of its proper divisors (535204940).

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

445120420 is a wasteful number, since it uses less digits than its factorization.

445120420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10624 (or 10622 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 445120420 is about 21097.8771443954. The cubic root of 445120420 is about 763.5295318066.

Adding to 445120420 its reverse (24021544), we get a palindrome (469141964).

The spelling of 445120420 in words is "four hundred forty-five million, one hundred twenty thousand, four hundred twenty".