445491200 has 288 divisors, whose sum is σ = 1389286080. Its totient is φ = 137625600.

The previous prime is 445491181. The next prime is 445491227. The reversal of 445491200 is 2194544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3942344 + ... + 3942456.

It is an arithmetic number, because the mean of its divisors is an integer number (4823910).

Almost surely, 2^445491200 is an apocalyptic number.

445491200 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 445491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694643040).

445491200 is an abundant number, since it is smaller than the sum of its proper divisors (943794880).

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

445491200 is a wasteful number, since it uses less digits than its factorization.

445491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 445491200 is about 21106.6624552533. The cubic root of 445491200 is about 763.7414766322.

The spelling of 445491200 in words is "four hundred forty-five million, four hundred ninety-one thousand, two hundred".