416228616 has 72 divisors (see below), whose sum is σ = 1152221070. Its totient is φ = 135739008.

The previous prime is 416228591. The next prime is 416228623. The reversal of 416228616 is 616822614.

416228616 is a `hidden beast` number, since 4 + 16 + 2 + 28 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 240560100 + 175668516 = 15510^2 + 13254^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 157740 + ... + 160356.

Almost surely, 2^416228616 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 416228616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576110535).

416228616 is an abundant number, since it is smaller than the sum of its proper divisors (735992454).

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

416228616 is a wasteful number, since it uses less digits than its factorization.

416228616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723 (or 2669 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 416228616 is about 20401.6816953897. The cubic root of 416228616 is about 746.6389550019.

The spelling of 416228616 in words is "four hundred sixteen million, two hundred twenty-eight thousand, six hundred sixteen".