400801 has 4 divisors (see below), whose sum is σ = 402112. Its totient is φ = 399492.

The previous prime is 400759. The next prime is 400823. The reversal of 400801 is 108004.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-400801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400871) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76 + ... + 898.

It is an arithmetic number, because the mean of its divisors is an integer number (100528).

2⁴⁰⁰⁸⁰¹ is an apocalyptic number.

It is an amenable number.

400801 is a deficient number, since it is larger than the sum of its proper divisors (1311).

400801 is an equidigital number, since it uses as much as digits as its factorization.

400801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310.

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

The square root of 400801 is about 633.0884614333. The cubic root of 400801 is about 73.7297790009.

Adding to 400801 its reverse (108004), we get a palindrome (508805).

It can be divided in two parts, 400 and 801, that multiplied together give a triangular number (320400 = T₈₀₀).

The spelling of 400801 in words is "four hundred thousand, eight hundred one".