416018196 has 72 divisors (see below), whose sum is σ = 1153807200. Its totient is φ = 125340480.

The previous prime is 416018191. The next prime is 416018219. The reversal of 416018196 is 691810614.

It is a happy number.

416018196 is a `hidden beast` number, since 41 + 601 + 8 + 1 + 9 + 6 = 666.

It is a super-2 number, since 2×416018196² = 346142278806188832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 416018196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416018191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67950 + ... + 73818.

It is an arithmetic number, because the mean of its divisors is an integer number (16025100).

Almost surely, 2^416018196 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 416018196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576903600).

416018196 is an abundant number, since it is smaller than the sum of its proper divisors (737789004).

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

416018196 is a wasteful number, since it uses less digits than its factorization.

416018196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6069 (or 6064 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 416018196 is about 20396.5241156428. The cubic root of 416018196 is about 746.5131153030.

The spelling of 416018196 in words is "four hundred sixteen million, eighteen thousand, one hundred ninety-six".