418272 has 24 divisors (see below), whose sum is σ = 1098216. Its totient is φ = 139392.

The previous prime is 418259. The next prime is 418273. The reversal of 418272 is 272814.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418273) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2083 + ... + 2274.

It is an arithmetic number, because the mean of its divisors is an integer number (45759).

2⁴¹⁸²⁷² is an apocalyptic number.

It is an amenable number.

418272 is an abundant number, since it is smaller than the sum of its proper divisors (679944).

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

418272 is a wasteful number, since it uses less digits than its factorization.

418272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370 (or 4362 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 418272 is about 646.7395147971. The cubic root of 418272 is about 74.7858781618.

The spelling of 418272 in words is "four hundred eighteen thousand, two hundred seventy-two".