418 has 8 divisors (see below), whose sum is σ = 720. Its totient is φ = 180.

The previous prime is 409. The next prime is 419. The reversal of 418 is 814.

It can be divided in two parts, 41 and 8, that added together give a square (49 = 7^{2}).

418 is nontrivially palindromic in base 13.

It is a sphenic number, since it is the product of 3 distinct primes.

It is an alternating number because its digits alternate between even and odd.

418 is an undulating number in base 13.

Its product of digits (32) is a multiple of the sum of its prime divisors (32).

418 is a modest number, since divided by 18 gives 4 as remainder.

It is a plaindrome in base 7, base 12 and base 15.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 398 and 407.

It is not an unprimeable number, because it can be changed into a prime (419) 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, 13 + ... + 31.

It is an arithmetic number, because the mean of its divisors is an integer number (90).

418 is a deficient number, since it is larger than the sum of its proper divisors (302).

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

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

The sum of its prime factors is 32.

The product of its digits is 32, while the sum is 13.

The square root of 418 is about 20.4450483003. The cubic root of 418 is about 7.4769663697.

The spelling of 418 in words is "four hundred eighteen", and thus it is an aban number.

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