401200 has 60 divisors (see below), whose sum is σ = 1037880. Its totient is φ = 148480.

The previous prime is 401179. The next prime is 401201. The reversal of 401200 is 2104.

It is a super-2 number, since 2×401200² = 321922880000, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6771 + ... + 6829.

It is an arithmetic number, because the mean of its divisors is an integer number (17298).

2⁴⁰¹²⁰⁰ is an apocalyptic number.

401200 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 401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518940).

401200 is an abundant number, since it is smaller than the sum of its proper divisors (636680).

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

401200 is a wasteful number, since it uses less digits than its factorization.

401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 401200 is about 633.4035048845. The cubic root of 401200 is about 73.7542370447.

Adding to 401200 its reverse (2104), we get a palindrome (403304).

It can be divided in two parts, 401 and 200, that multiplied together give a triangular number (80200 = T₄₀₀).

The spelling of 401200 in words is "four hundred one thousand, two hundred", and thus it is an iban number.