401332400 has 60 divisors (see below), whose sum is σ = 1101951792. Its totient is φ = 137598720.

The previous prime is 401332397. The next prime is 401332411. The reversal of 401332400 is 4233104.

401332400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401332400² = 322135390579520000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68867 + ... + 74466.

Almost surely, 2^401332400 is an apocalyptic number.

401332400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401332400 is an abundant number, since it is smaller than the sum of its proper divisors (700619392).

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

401332400 is a wasteful number, since it uses less digits than its factorization.

401332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143358 (or 143347 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 401332400 is about 20033.2823072007. The cubic root of 401332400 is about 737.6234936358.

Adding to 401332400 its reverse (4233104), we get a palindrome (405565504).

The spelling of 401332400 in words is "four hundred one million, three hundred thirty-two thousand, four hundred".