416941056 has 264 divisors, whose sum is σ = 1440825984. Its totient is φ = 113541120.

The previous prime is 416941027. The next prime is 416941069. The reversal of 416941056 is 650149614.

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

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 416941056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1483636 + ... + 1483916.

Almost surely, 2^416941056 is an apocalyptic number.

416941056 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416941056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720412992).

416941056 is an abundant number, since it is smaller than the sum of its proper divisors (1023884928).

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

416941056 is a wasteful number, since it uses less digits than its factorization.

416941056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 416941056 is about 20419.1345556074. The cubic root of 416941056 is about 747.0647084045.

The spelling of 416941056 in words is "four hundred sixteen million, nine hundred forty-one thousand, fifty-six".