401128 has 64 divisors (see below), whose sum is σ = 1008000. Its totient is φ = 145152.

The previous prime is 401119. The next prime is 401161. The reversal of 401128 is 821104.

It is a happy number.

401128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

401128 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 15 ways as a sum of consecutive naturals, for example, 13818 + ... + 13846.

It is an arithmetic number, because the mean of its divisors is an integer number (15750).

2⁴⁰¹¹²⁸ 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 401128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504000).

401128 is an abundant number, since it is smaller than the sum of its proper divisors (606872).

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

401128 is a wasteful number, since it uses less digits than its factorization.

401128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 401128 is about 633.3466665263. The cubic root of 401128 is about 73.7498247626.

It can be divided in two parts, 401 and 128, that added together give a square (529 = 23²).

The spelling of 401128 in words is "four hundred one thousand, one hundred twenty-eight".