445616820 has 144 divisors (see below), whose sum is σ = 1495271232. Its totient is φ = 106513920.

The previous prime is 445616807. The next prime is 445616827. The reversal of 445616820 is 28616544.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445616827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142999 + ... + 146081.

It is an arithmetic number, because the mean of its divisors is an integer number (10383828).

Almost surely, 2^445616820 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 445616820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747635616).

445616820 is an abundant number, since it is smaller than the sum of its proper divisors (1049654412).

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

445616820 is a wasteful number, since it uses less digits than its factorization.

445616820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 445616820 is about 21109.6380831127. The cubic root of 445616820 is about 763.8132567167.

The spelling of 445616820 in words is "four hundred forty-five million, six hundred sixteen thousand, eight hundred twenty".