418228272 has 360 divisors, whose sum is σ = 1536790528. Its totient is φ = 107775360.

The previous prime is 418228229. The next prime is 418228273. The reversal of 418228272 is 272822814.

It is a super-4 number, since 4×418228272⁴ (a number of 36 digits) contains 4444 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (418228273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3293073 + ... + 3293199.

Almost surely, 2^418228272 is an apocalyptic number.

418228272 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 418228272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768395264).

418228272 is an abundant number, since it is smaller than the sum of its proper divisors (1118562256).

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

418228272 is a wasteful number, since it uses less digits than its factorization.

418228272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 150 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 418228272 is about 20450.6301125418. The cubic root of 418228272 is about 747.8327192246.

The spelling of 418228272 in words is "four hundred eighteen million, two hundred twenty-eight thousand, two hundred seventy-two".