418406220 has 216 divisors, whose sum is σ = 1377964224. Its totient is φ = 102698496.

The previous prime is 418406213. The next prime is 418406251. The reversal of 418406220 is 22604814.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3053992 + ... + 3054128.

It is an arithmetic number, because the mean of its divisors is an integer number (6379464).

Almost surely, 2^418406220 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 418406220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688982112).

418406220 is an abundant number, since it is smaller than the sum of its proper divisors (959558004).

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

418406220 is a wasteful number, since it uses less digits than its factorization.

418406220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 418406220 is about 20454.9803226500. The cubic root of 418406220 is about 747.9387669474.

The spelling of 418406220 in words is "four hundred eighteen million, four hundred six thousand, two hundred twenty".