401132000 has 144 divisors (see below), whose sum is σ = 1049984208. Its totient is φ = 150579200.

The previous prime is 401131999. The next prime is 401132021. The reversal of 401132000 is 231104.

It is a happy number.

It is a congruent number.

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, 1155827 + ... + 1156173.

It is an arithmetic number, because the mean of its divisors is an integer number (7291557).

Almost surely, 2^401132000 is an apocalyptic number.

401132000 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 401132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524992104).

401132000 is an abundant number, since it is smaller than the sum of its proper divisors (648852208).

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

401132000 is a wasteful number, since it uses less digits than its factorization.

401132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 401132000 is about 20028.2800060315. The cubic root of 401132000 is about 737.5006990322.

Adding to 401132000 its reverse (231104), we get a palindrome (401363104).

The spelling of 401132000 in words is "four hundred one million, one hundred thirty-two thousand".