418084016 has 80 divisors (see below), whose sum is σ = 957063744. Its totient is φ = 173187072.

The previous prime is 418084013. The next prime is 418084021. The reversal of 418084016 is 610480814.

It is not an unprimeable number, because it can be changed into a prime (418084013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 965336 + ... + 965768.

Almost surely, 2^418084016 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 418084016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478531872).

418084016 is an abundant number, since it is smaller than the sum of its proper divisors (538979728).

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

418084016 is a wasteful number, since it uses less digits than its factorization.

418084016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 418084016 is about 20447.1028754687. The cubic root of 418084016 is about 747.7467280968.

The spelling of 418084016 in words is "four hundred eighteen million, eighty-four thousand, sixteen".