416791872 has 112 divisors (see below), whose sum is σ = 1400373120. Its totient is φ = 119079936.

The previous prime is 416791867. The next prime is 416791877. The reversal of 416791872 is 278197614.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (416791867) and next prime (416791877).

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416791877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5133 + ... + 29324.

Almost surely, 2^416791872 is an apocalyptic number.

416791872 is a gapful number since it is divisible by the number (42) 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 416791872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700186560).

416791872 is an abundant number, since it is smaller than the sum of its proper divisors (983581248).

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

416791872 is a wasteful number, since it uses less digits than its factorization.

416791872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34485 (or 34469 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 416791872 is about 20415.4811846305. The cubic root of 416791872 is about 746.9755963706.

The spelling of 416791872 in words is "four hundred sixteen million, seven hundred ninety-one thousand, eight hundred seventy-two".