445116 has 36 divisors (see below), whose sum is σ = 1209768. Its totient is φ = 127008.

The previous prime is 445103. The next prime is 445141. The reversal of 445116 is 611544.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 445092 and 445101.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 445116.

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 11 ways as a sum of consecutive naturals, for example, 210 + ... + 966.

2⁴⁴⁵¹¹⁶ 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 445116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604884).

445116 is an abundant number, since it is smaller than the sum of its proper divisors (764652).

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

445116 is a wasteful number, since it uses less digits than its factorization.

445116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 769 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 445116 is about 667.1701432169. The cubic root of 445116 is about 76.3527004542.

It can be divided in two parts, 445 and 116, that added together give a triangular number (561 = T₃₃).

The spelling of 445116 in words is "four hundred forty-five thousand, one hundred sixteen".