416406420 has 120 divisors (see below), whose sum is σ = 1311582888. Its totient is φ = 110592000.

The previous prime is 416406401. The next prime is 416406427. The reversal of 416406420 is 24604614.

416406420 is a `hidden beast` number, since 4 + 16 + 4 + 0 + 642 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 254913156 + 161493264 = 15966^2 + 12708^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416406427) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 649300 + ... + 649940.

Almost surely, 2^416406420 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 416406420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655791444).

416406420 is an abundant number, since it is smaller than the sum of its proper divisors (895176468).

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

416406420 is a wasteful number, since it uses less digits than its factorization.

416406420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 416406420 is about 20406.0388120772. The cubic root of 416406420 is about 746.7452559534.

The spelling of 416406420 in words is "four hundred sixteen million, four hundred six thousand, four hundred twenty".