401888 has 24 divisors (see below), whose sum is σ = 834120. Its totient is φ = 190080.

The previous prime is 401887. The next prime is 401903. The reversal of 401888 is 888104.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 401888.

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 401888.

It is not an unprimeable number, because it can be changed into a prime (401887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 278 + ... + 938.

It is an arithmetic number, because the mean of its divisors is an integer number (34755).

2⁴⁰¹⁸⁸⁸ 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 401888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417060).

401888 is an abundant number, since it is smaller than the sum of its proper divisors (432232).

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

401888 is a wasteful number, since it uses less digits than its factorization.

401888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 401888 is about 633.9463699715. The cubic root of 401888 is about 73.7963722533.

The spelling of 401888 in words is "four hundred one thousand, eight hundred eighty-eight".