401333200 has 60 divisors (see below), whose sum is σ = 1014969760. Its totient is φ = 152081280.

The previous prime is 401333189. The next prime is 401333201. The reversal of 401333200 is 2333104.

It is a super-2 number, since 2×401333200² = 322136674844480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401333201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18804 + ... + 34003.

Almost surely, 2^401333200 is an apocalyptic number.

401333200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401333200 is an abundant number, since it is smaller than the sum of its proper divisors (613636560).

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

401333200 is a wasteful number, since it uses less digits than its factorization.

401333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52844 (or 52833 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 401333200 is about 20033.3022739637. The cubic root of 401333200 is about 737.6239837519.

Adding to 401333200 its reverse (2333104), we get a palindrome (403666304).

The spelling of 401333200 in words is "four hundred one million, three hundred thirty-three thousand, two hundred".