401100 has 72 divisors (see below), whose sum is σ = 1333248. Its totient is φ = 91200.

The previous prime is 401087. The next prime is 401101. The reversal of 401100 is 1104.

401100 is nontrivially palindromic in base 9.

401100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (401101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2005 + ... + 2195.

2⁴⁰¹¹⁰⁰ 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 401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666624).

401100 is an abundant number, since it is smaller than the sum of its proper divisors (932148).

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

401100 is a wasteful number, since it uses less digits than its factorization.

401100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 401100 is about 633.3245613428. The cubic root of 401100 is about 73.7481087325.

Adding to 401100 its reverse (1104), we get a palindrome (402204).

The spelling of 401100 in words is "four hundred one thousand, one hundred", and thus it is an iban number.