418085220 has 192 divisors, whose sum is σ = 1396555776. Its totient is φ = 91445760.

The previous prime is 418085207. The next prime is 418085221. The reversal of 418085220 is 22580814.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (418085221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2122162 + ... + 2122358.

It is an arithmetic number, because the mean of its divisors is an integer number (7273728).

Almost surely, 2^418085220 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 418085220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698277888).

418085220 is an abundant number, since it is smaller than the sum of its proper divisors (978470556).

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

418085220 is a wasteful number, since it uses less digits than its factorization.

418085220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 418085220 is about 20447.1323172713. The cubic root of 418085220 is about 747.7474458841.

The spelling of 418085220 in words is "four hundred eighteen million, eighty-five thousand, two hundred twenty".