445220400 has 120 divisors (see below), whose sum is σ = 1430890560. Its totient is φ = 118334720.

The previous prime is 445220393. The next prime is 445220437. The reversal of 445220400 is 4022544.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 675271 + ... + 675929.

It is an arithmetic number, because the mean of its divisors is an integer number (11924088).

Almost surely, 2^445220400 is an apocalyptic number.

445220400 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 445220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715445280).

445220400 is an abundant number, since it is smaller than the sum of its proper divisors (985670160).

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

445220400 is a wasteful number, since it uses less digits than its factorization.

445220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 445220400 is about 21100.2464440584. The cubic root of 445220400 is about 763.5866938421.

Adding to 445220400 its reverse (4022544), we get a palindrome (449242944).

The spelling of 445220400 in words is "four hundred forty-five million, two hundred twenty thousand, four hundred".