404452116 has 84 divisors (see below), whose sum is σ = 1081637172. Its totient is φ = 132223104.

The previous prime is 404452099. The next prime is 404452121. The reversal of 404452116 is 611254404.

404452116 is a `hidden beast` number, since 4 + 0 + 445 + 211 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 355171716 + 49280400 = 18846^2 + 7020^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 404452116.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 153240 + ... + 155856.

It is an arithmetic number, because the mean of its divisors is an integer number (12876633).

Almost surely, 2^404452116 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 404452116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540818586).

404452116 is an abundant number, since it is smaller than the sum of its proper divisors (677185056).

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

404452116 is a wasteful number, since it uses less digits than its factorization.

404452116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 404452116 is about 20110.9949032861. The cubic root of 404452116 is about 739.5298425720.

The spelling of 404452116 in words is "four hundred four million, four hundred fifty-two thousand, one hundred sixteen".