404186112 has 220 divisors, whose sum is σ = 1319676336. Its totient is φ = 122204160.

The previous prime is 404186093. The next prime is 404186119. The reversal of 404186112 is 211681404.

It is a happy number.

404186112 is a `hidden beast` number, since 4 + 0 + 41 + 8 + 611 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (404186119) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 912163 + ... + 912605.

Almost surely, 2^404186112 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 404186112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659838168).

404186112 is an abundant number, since it is smaller than the sum of its proper divisors (915490224).

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

404186112 is a wasteful number, since it uses less digits than its factorization.

404186112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 404186112 is about 20104.3804182074. The cubic root of 404186112 is about 739.3676799569.

The spelling of 404186112 in words is "four hundred four million, one hundred eighty-six thousand, one hundred twelve".