400800 has 72 divisors (see below), whose sum is σ = 1312416. Its totient is φ = 106240.

The previous prime is 400759. The next prime is 400823. The reversal of 400800 is 8004.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is an unprimeable number.

400800 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 11 ways as a sum of consecutive naturals, for example, 2317 + ... + 2483.

It is an arithmetic number, because the mean of its divisors is an integer number (18228).

2⁴⁰⁰⁸⁰⁰ is an apocalyptic number.

400800 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 400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656208).

400800 is an abundant number, since it is smaller than the sum of its proper divisors (911616).

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

400800 is a wasteful number, since it uses less digits than its factorization.

400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 400800 is about 633.0876716538. The cubic root of 400800 is about 73.7297176822.

Adding to 400800 its reverse (8004), we get a palindrome (408804).

The spelling of 400800 in words is "four hundred thousand, eight hundred".