406086112 has 48 divisors (see below), whose sum is σ = 831043584. Its totient is φ = 195120000.

The previous prime is 406086097. The next prime is 406086127. The reversal of 406086112 is 211680604.

It is an interprime number because it is at equal distance from previous prime (406086097) and next prime (406086127).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 148437 + ... + 151147.

It is an arithmetic number, because the mean of its divisors is an integer number (17313408).

Almost surely, 2^406086112 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 406086112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415521792).

406086112 is an abundant number, since it is smaller than the sum of its proper divisors (424957472).

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

406086112 is a wasteful number, since it uses less digits than its factorization.

406086112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 406086112 is about 20151.5783997185. The cubic root of 406086112 is about 740.5244103616.

The spelling of 406086112 in words is "four hundred six million, eighty-six thousand, one hundred twelve".