416542224 has 80 divisors (see below), whose sum is σ = 1233413120. Its totient is φ = 118661760.

The previous prime is 416542219. The next prime is 416542249. The reversal of 416542224 is 422245614.

It is a junction number, because it is equal to n+sod(n) for n = 416542191 and 416542200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125709 + ... + 128979.

It is an arithmetic number, because the mean of its divisors is an integer number (15417664).

Almost surely, 2^416542224 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 416542224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616706560).

416542224 is an abundant number, since it is smaller than the sum of its proper divisors (816870896).

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

416542224 is a wasteful number, since it uses less digits than its factorization.

416542224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3668 (or 3662 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 416542224 is about 20409.3660852071. The cubic root of 416542224 is about 746.8264266281.

Adding to 416542224 its reverse (422245614), we get a palindrome (838787838).

The spelling of 416542224 in words is "four hundred sixteen million, five hundred forty-two thousand, two hundred twenty-four".