401418 has 24 divisors (see below), whose sum is σ = 900900. Its totient is φ = 129024.

The previous prime is 401417. The next prime is 401473. The reversal of 401418 is 814104.

401418 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 400689 + 729 = 633^2 + 27^2 .

It is a super-2 number, since 2×401418² = 322272821448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 401418.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 401418.

It is not an unprimeable number, because it can be changed into a prime (401411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138 + ... + 906.

2⁴⁰¹⁴¹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450450).

401418 is an abundant number, since it is smaller than the sum of its proper divisors (499482).

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

401418 is a wasteful number, since it uses less digits than its factorization.

401418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 401418 is about 633.5755677108. The cubic root of 401418 is about 73.7675932364.

Subtracting 401418 from its reverse (814104), we obtain a triangular number (412686 = T₉₀₈).

The spelling of 401418 in words is "four hundred one thousand, four hundred eighteen".