401120 has 48 divisors (see below), whose sum is σ = 997920. Its totient is φ = 152064.

The previous prime is 401119. The next prime is 401161. The reversal of 401120 is 21104.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 401098 and 401107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3626 + ... + 3734.

It is an arithmetic number, because the mean of its divisors is an integer number (20790).

2⁴⁰¹¹²⁰ is an apocalyptic number.

401120 is a gapful number since it is divisible by the number (40) 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 401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498960).

401120 is an abundant number, since it is smaller than the sum of its proper divisors (596800).

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

401120 is a wasteful number, since it uses less digits than its factorization.

401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 401120 is about 633.3403508383. The cubic root of 401120 is about 73.7493344764.

Adding to 401120 its reverse (21104), we get a palindrome (422224).

The spelling of 401120 in words is "four hundred one thousand, one hundred twenty", and thus it is an iban number.