416424204 has 72 divisors (see below), whose sum is σ = 1206616320. Its totient is φ = 118621152.

The previous prime is 416424191. The next prime is 416424221. The reversal of 416424204 is 402424614.

It is a happy number.

416424204 is a `hidden beast` number, since 416 + 4 + 242 + 0 + 4 = 666.

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, 88167 + ... + 92769.

It is an arithmetic number, because the mean of its divisors is an integer number (16758560).

Almost surely, 2^416424204 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 416424204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603308160).

416424204 is an abundant number, since it is smaller than the sum of its proper divisors (790192116).

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

416424204 is a wasteful number, since it uses less digits than its factorization.

416424204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4979 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 416424204 is about 20406.4745607858. The cubic root of 416424204 is about 746.7558865360.

Adding to 416424204 its reverse (402424614), we get a palindrome (818848818).

The spelling of 416424204 in words is "four hundred sixteen million, four hundred twenty-four thousand, two hundred four".