406144116 has 144 divisors (see below), whose sum is σ = 1234257024. Its totient is φ = 110170368.

The previous prime is 406144111. The next prime is 406144117. The reversal of 406144116 is 611441604.

406144116 is a `hidden beast` number, since 4 + 0 + 614 + 41 + 1 + 6 = 666.

It is a super-2 number, since 2×406144116² = 329906085922842912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 406144116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406144111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400426 + ... + 401438.

Almost surely, 2^406144116 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 406144116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617128512).

406144116 is an abundant number, since it is smaller than the sum of its proper divisors (828112908).

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

406144116 is a wasteful number, since it uses less digits than its factorization.

406144116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 406144116 is about 20153.0175408051. The cubic root of 406144116 is about 740.5596667039.

The spelling of 406144116 in words is "four hundred six million, one hundred forty-four thousand, one hundred sixteen".