401332200 has 96 divisors (see below), whose sum is σ = 1284322560. Its totient is φ = 103564800.

The previous prime is 401332181. The next prime is 401332213. The reversal of 401332200 is 2233104.

It is a super-2 number, since 2×401332200² = 322135069513680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 401332200.

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, 7812 + ... + 29388.

It is an arithmetic number, because the mean of its divisors is an integer number (13378360).

Almost surely, 2^401332200 is an apocalyptic number.

401332200 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 401332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642161280).

401332200 is an abundant number, since it is smaller than the sum of its proper divisors (882990360).

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

401332200 is a wasteful number, since it uses less digits than its factorization.

401332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21627 (or 21618 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 401332200 is about 20033.2773155068. The cubic root of 401332200 is about 737.6233711066.

Adding to 401332200 its reverse (2233104), we get a palindrome (403565304).

The spelling of 401332200 in words is "four hundred one million, three hundred thirty-two thousand, two hundred".