416146116 has 48 divisors (see below), whose sum is σ = 990158400. Its totient is φ = 135992832.

The previous prime is 416146103. The next prime is 416146121. The reversal of 416146116 is 611641614.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402336 + ... + 403368.

It is an arithmetic number, because the mean of its divisors is an integer number (20628300).

Almost surely, 2^416146116 is an apocalyptic number.

It is an amenable number.

416146116 is an abundant number, since it is smaller than the sum of its proper divisors (574012284).

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

416146116 is a wasteful number, since it uses less digits than its factorization.

416146116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1666 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 416146116 is about 20399.6597030441. The cubic root of 416146116 is about 746.5896217095.

The spelling of 416146116 in words is "four hundred sixteen million, one hundred forty-six thousand, one hundred sixteen".