416966616 has 384 divisors, whose sum is σ = 1434101760. Its totient is φ = 111974400.

The previous prime is 416966591. The next prime is 416966621. The reversal of 416966616 is 616669614.

It is a super-2 number, since 2×416966616² = 347722317716982912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11269350 + ... + 11269386.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2^416966616 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 416966616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717050880).

416966616 is an abundant number, since it is smaller than the sum of its proper divisors (1017135144).

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

416966616 is a wasteful number, since it uses less digits than its factorization.

416966616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 416966616 is about 20419.7604295447. The cubic root of 416966616 is about 747.0799740186.

The spelling of 416966616 in words is "four hundred sixteen million, nine hundred sixty-six thousand, six hundred sixteen".