416875104 has 144 divisors (see below), whose sum is σ = 1248234624. Its totient is φ = 131788800.

The previous prime is 416875099. The next prime is 416875111. The reversal of 416875104 is 401578614.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 472744 + ... + 473624.

It is an arithmetic number, because the mean of its divisors is an integer number (8668296).

Almost surely, 2^416875104 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 416875104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624117312).

416875104 is an abundant number, since it is smaller than the sum of its proper divisors (831359520).

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

416875104 is a wasteful number, since it uses less digits than its factorization.

416875104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 416875104 is about 20417.5195359280. The cubic root of 416875104 is about 747.0253159380.

The spelling of 416875104 in words is "four hundred sixteen million, eight hundred seventy-five thousand, one hundred four".