401364 has 18 divisors (see below), whose sum is σ = 1014650. Its totient is φ = 133776.

The previous prime is 401347. The next prime is 401371. The reversal of 401364 is 463104.

It can be written as a sum of positive squares in only one way, i.e., 311364 + 90000 = 558^2 + 300^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×401364² = 322186120992, which contains 22 as substring.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 401364.

It is an unprimeable number.

401364 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5539 + ... + 5610.

2⁴⁰¹³⁶⁴ is an apocalyptic number.

It is an amenable number.

401364 is an abundant number, since it is smaller than the sum of its proper divisors (613286).

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

401364 is a wasteful number, since it uses less digits than its factorization.

401364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11159 (or 11154 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 401364 is about 633.5329509978. The cubic root of 401364 is about 73.7642852726.

Adding to 401364 its reverse (463104), we get a palindrome (864468).

The spelling of 401364 in words is "four hundred one thousand, three hundred sixty-four".