401328 has 40 divisors (see below), whose sum is σ = 1153200. Its totient is φ = 133632.

The previous prime is 401321. The next prime is 401329. The reversal of 401328 is 823104.

It is a happy number.

It is a super-2 number, since 2×401328² = 322128327168, 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 401328.

It is not an unprimeable number, because it can be changed into a prime (401321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33 + ... + 896.

It is an arithmetic number, because the mean of its divisors is an integer number (28830).

2⁴⁰¹³²⁸ is an apocalyptic number.

401328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576600).

401328 is an abundant number, since it is smaller than the sum of its proper divisors (751872).

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

401328 is a wasteful number, since it uses less digits than its factorization.

401328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 401328 is about 633.5045382631. The cubic root of 401328 is about 73.7620797986.

It can be divided in two parts, 401 and 328, that added together give a 6-th power (729 = 3⁶).

The spelling of 401328 in words is "four hundred one thousand, three hundred twenty-eight".