445205772 has 72 divisors (see below), whose sum is σ = 1230220992. Its totient is φ = 134632800.

The previous prime is 445205771. The next prime is 445205773. The reversal of 445205772 is 277502544.

It is a happy number.

445205772 is a `hidden beast` number, since 445 + 205 + 7 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (445205771) and next prime (445205773).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (445205771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272823 + ... + 274449.

Almost surely, 2^445205772 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 445205772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615110496).

445205772 is an abundant number, since it is smaller than the sum of its proper divisors (785015220).

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

445205772 is a wasteful number, since it uses less digits than its factorization.

445205772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 445205772 is about 21099.8998101887. The cubic root of 445205772 is about 763.5783310414.

The spelling of 445205772 in words is "four hundred forty-five million, two hundred five thousand, seven hundred seventy-two".