401184 has 72 divisors (see below), whose sum is σ = 1310400. Its totient is φ = 114048.

The previous prime is 401179. The next prime is 401201. The reversal of 401184 is 481104.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

401184 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1917 + ... + 2115.

It is an arithmetic number, because the mean of its divisors is an integer number (18200).

2⁴⁰¹¹⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655200).

401184 is an abundant number, since it is smaller than the sum of its proper divisors (909216).

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

401184 is a wasteful number, since it uses less digits than its factorization.

401184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

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

The square root of 401184 is about 633.3908745790. The cubic root of 401184 is about 73.7532565832.

Adding to 401184 its reverse (481104), we get a palindrome (882288).

It can be divided in two parts, 4011 and 84, that added together give a triangular number (4095 = T₉₀).

The spelling of 401184 in words is "four hundred one thousand, one hundred eighty-four".