445210000 has 75 divisors (see below), whose sum is σ = 1083030663. Its totient is φ = 177240000.

The previous prime is 445209983. The next prime is 445210009. The reversal of 445210000 is 12544.

The square root of 445210000 is 21100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 34904464 + 410305536 = 5908^2 + 20256^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (445210009) 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 14 ways as a sum of consecutive naturals, for example, 2109895 + ... + 2110105.

Almost surely, 2^445210000 is an apocalyptic number.

445210000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

445210000 is the 21100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445210000

445210000 is an abundant number, since it is smaller than the sum of its proper divisors (637820663).

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

445210000 is an frugal number, since it uses more digits than its factorization.

445210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The cubic root of 445210000 is about 763.5807482000.

Multiplying 445210000 by its sum of digits (16), we get a square (7123360000 = 84400²).

445210000 divided by its sum of digits (16) gives a square (27825625 = 5275²).

Adding to 445210000 its reverse (12544), we get a palindrome (445222544).

Multiplying 445210000 by its reverse (12544), we get a square (5584714240000 = 2363200²).

The spelling of 445210000 in words is "four hundred forty-five million, two hundred ten thousand".