404516106 has 20 divisors (see below), whose sum is σ = 906416082. Its totient is φ = 134838648.

The previous prime is 404516089. The next prime is 404516107. The reversal of 404516106 is 601615404.

404516106 is a `hidden beast` number, since 4 + 0 + 45 + 1 + 610 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 324324081 + 80192025 = 18009^2 + 8955^2 .

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 404516106.

It is not an unprimeable number, because it can be changed into a prime (404516107) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1248345 + ... + 1248668.

Almost surely, 2^404516106 is an apocalyptic number.

404516106 is an abundant number, since it is smaller than the sum of its proper divisors (501899976).

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

404516106 is a wasteful number, since it uses less digits than its factorization.

404516106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497027 (or 2497018 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 404516106 is about 20112.5857611596. The cubic root of 404516106 is about 739.5688418481.

The spelling of 404516106 in words is "four hundred four million, five hundred sixteen thousand, one hundred six".