401130400 has 144 divisors (see below), whose sum is σ = 1083680640. Its totient is φ = 143769600.

The previous prime is 401130377. The next prime is 401130403. The reversal of 401130400 is 4031104.

It is not an unprimeable number, because it can be changed into a prime (401130403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 694912 + ... + 695488.

It is an arithmetic number, because the mean of its divisors is an integer number (7525560).

Almost surely, 2^401130400 is an apocalyptic number.

401130400 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 401130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541840320).

401130400 is an abundant number, since it is smaller than the sum of its proper divisors (682550240).

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

401130400 is a wasteful number, since it uses less digits than its factorization.

401130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 401130400 is about 20028.2400624718. The cubic root of 401130400 is about 737.4997184716.

Adding to 401130400 its reverse (4031104), we get a palindrome (405161504).

The spelling of 401130400 in words is "four hundred one million, one hundred thirty thousand, four hundred".