416918016 has 140 divisors (see below), whose sum is σ = 1250079402. Its totient is φ = 138848256.

The previous prime is 416918009. The next prime is 416918017. The reversal of 416918016 is 610819614.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 412252416 + 4665600 = 20304^2 + 2160^2 .

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (416918017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 372690 + ... + 373806.

Almost surely, 2^416918016 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 416918016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625039701).

416918016 is an abundant number, since it is smaller than the sum of its proper divisors (833161386).

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

416918016 is an frugal number, since it uses more digits than its factorization.

416918016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 416918016 is about 20418.5703711107. The cubic root of 416918016 is about 747.0509473163.

The spelling of 416918016 in words is "four hundred sixteen million, nine hundred eighteen thousand, sixteen".