401344800 has 144 divisors (see below), whose sum is σ = 1337101920. Its totient is φ = 104509440.

The previous prime is 401344799. The next prime is 401344819. The reversal of 401344800 is 8443104.

It is a super-2 number, since 2×401344800² = 322155296974080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101256 + ... + 105144.

It is an arithmetic number, because the mean of its divisors is an integer number (9285430).

Almost surely, 2^401344800 is an apocalyptic number.

401344800 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 401344800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668550960).

401344800 is an abundant number, since it is smaller than the sum of its proper divisors (935757120).

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

401344800 is a wasteful number, since it uses less digits than its factorization.

401344800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3955 (or 3942 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 401344800 is about 20033.5917897915. The cubic root of 401344800 is about 737.6310903620.

Adding to 401344800 its reverse (8443104), we get a palindrome (409787904).

The spelling of 401344800 in words is "four hundred one million, three hundred forty-four thousand, eight hundred".