416487420 has 216 divisors, whose sum is σ = 1407015792. Its totient is φ = 103057920.

The previous prime is 416487397. The next prime is 416487451. The reversal of 416487420 is 24784614.

416487420 is a `hidden beast` number, since 4 + 1 + 648 + 7 + 4 + 2 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5865985 + ... + 5866055.

It is an arithmetic number, because the mean of its divisors is an integer number (6513962).

Almost surely, 2^416487420 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 416487420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703507896).

416487420 is an abundant number, since it is smaller than the sum of its proper divisors (990528372).

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

416487420 is a wasteful number, since it uses less digits than its factorization.

416487420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 416487420 is about 20408.0234221739. The cubic root of 416487420 is about 746.7936721491.

The spelling of 416487420 in words is "four hundred sixteen million, four hundred eighty-seven thousand, four hundred twenty".