416122704 has 160 divisors (see below), whose sum is σ = 1232064000. Its totient is φ = 134424576.

The previous prime is 416122697. The next prime is 416122717. The reversal of 416122704 is 407221614.

416122704 is a `hidden beast` number, since 41 + 612 + 2 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3037324 + ... + 3037460.

It is an arithmetic number, because the mean of its divisors is an integer number (7700400).

Almost surely, 2^416122704 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 416122704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616032000).

416122704 is an abundant number, since it is smaller than the sum of its proper divisors (815941296).

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

416122704 is a wasteful number, since it uses less digits than its factorization.

416122704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 416122704 is about 20399.0858618714. The cubic root of 416122704 is about 746.5756206305.

The spelling of 416122704 in words is "four hundred sixteen million, one hundred twenty-two thousand, seven hundred four".