401800 has 72 divisors (see below), whose sum is σ = 1113210. Its totient is φ = 134400.

The previous prime is 401773. The next prime is 401809. The reversal of 401800 is 8104.

401800 = T₁₁₉ + T₁₂₀ + ... + T₁₅₉.

It can be written as a sum of positive squares in 3 ways, for example, as 188356 + 213444 = 434^2 + 462^2 .

It is a super-2 number, since 2×401800² = 322886480000, which contains 22 as substring.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (401809) by changing a digit.

401800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9780 + ... + 9820.

2⁴⁰¹⁸⁰⁰ is an apocalyptic number.

401800 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 401800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556605).

401800 is an abundant number, since it is smaller than the sum of its proper divisors (711410).

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

401800 is a wasteful number, since it uses less digits than its factorization.

401800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 401800 is about 633.8769596696. The cubic root of 401800 is about 73.7909855496.

Adding to 401800 its reverse (8104), we get a palindrome (409904).

The spelling of 401800 in words is "four hundred one thousand, eight hundred".