416243646 has 96 divisors (see below), whose sum is σ = 1117509120. Its totient is φ = 109035072.

The previous prime is 416243617. The next prime is 416243669. The reversal of 416243646 is 646342614.

416243646 is a `hidden beast` number, since 4 + 1 + 6 + 2 + 4 + 3 + 646 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 416243646.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266215 + ... + 267773.

It is an arithmetic number, because the mean of its divisors is an integer number (11640720).

Almost surely, 2^416243646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416243646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558754560).

416243646 is an abundant number, since it is smaller than the sum of its proper divisors (701265474).

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

416243646 is a wasteful number, since it uses less digits than its factorization.

416243646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1747 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 416243646 is about 20402.0500440519. The cubic root of 416243646 is about 746.6479419287.

The spelling of 416243646 in words is "four hundred sixteen million, two hundred forty-three thousand, six hundred forty-six".