418466412 has 336 divisors, whose sum is σ = 1439612160. Its totient is φ = 103296384.

The previous prime is 418466381. The next prime is 418466417. The reversal of 418466412 is 214664814.

It is a happy number.

418466412 is a `hidden beast` number, since 4 + 1 + 8 + 4 + 6 + 641 + 2 = 666.

It is a super-2 number, since 2×418466412² = 350228275944307488, which contains 22 as substring.

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

Its product of digits (36864) is a multiple of the sum of its prime factors (144).

It is not an unprimeable number, because it can be changed into a prime (418466417) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5041723 + ... + 5041805.

It is an arithmetic number, because the mean of its divisors is an integer number (4284560).

Almost surely, 2^418466412 is an apocalyptic number.

418466412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418466412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719806080).

418466412 is an abundant number, since it is smaller than the sum of its proper divisors (1021145748).

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

418466412 is a wasteful number, since it uses less digits than its factorization.

418466412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 127 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 418466412 is about 20456.4515984567. The cubic root of 418466412 is about 747.9746314330.

The spelling of 418466412 in words is "four hundred eighteen million, four hundred sixty-six thousand, four hundred twelve".