416092116 has 96 divisors (see below), whose sum is σ = 1111420800. Its totient is φ = 119992320.

The previous prime is 416092111. The next prime is 416092147. The reversal of 416092116 is 611290614.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416092111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278700 + ... + 280188.

It is an arithmetic number, because the mean of its divisors is an integer number (11577300).

Almost surely, 2^416092116 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 416092116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555710400).

416092116 is an abundant number, since it is smaller than the sum of its proper divisors (695328684).

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

416092116 is a wasteful number, since it uses less digits than its factorization.

416092116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 416092116 is about 20398.3361086143. The cubic root of 416092116 is about 746.5573272966.

The spelling of 416092116 in words is "four hundred sixteen million, ninety-two thousand, one hundred sixteen".