401000800 has 72 divisors (see below), whose sum is σ = 1001795256. Its totient is φ = 156656640.

The previous prime is 401000767. The next prime is 401000801. The reversal of 401000800 is 8000104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401000801) 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, 28572 + ... + 40228.

It is an arithmetic number, because the mean of its divisors is an integer number (13913823).

Almost surely, 2^401000800 is an apocalyptic number.

401000800 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 401000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500897628).

401000800 is an abundant number, since it is smaller than the sum of its proper divisors (600794456).

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

401000800 is a wasteful number, since it uses less digits than its factorization.

401000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11720 (or 11707 counting only the distinct ones).

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

The square root of 401000800 is about 20025.0043695376. The cubic root of 401000800 is about 737.4202844032.

Adding to 401000800 its reverse (8000104), we get a palindrome (409000904).

The spelling of 401000800 in words is "four hundred one million, eight hundred", and thus it is an aban number.