401000 has 32 divisors (see below), whose sum is σ = 940680. Its totient is φ = 160000.

The previous prime is 400997. The next prime is 401017. The reversal of 401000 is 104.

401000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 252004 + 148996 = 502^2 + 386^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

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

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, 800 + ... + 1200.

2⁴⁰¹⁰⁰⁰ is an apocalyptic number.

401000 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 401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470340).

401000 is an abundant number, since it is smaller than the sum of its proper divisors (539680).

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

401000 is a wasteful number, since it uses less digits than its factorization.

401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 401000 is about 633.2456079595. The cubic root of 401000 is about 73.7419794016.

Adding to 401000 its reverse (104), we get a palindrome (401104).

The spelling of 401000 in words is "four hundred one thousand", and thus it is an iban number.