431121404 has 72 divisors (see below), whose sum is σ = 903035952. Its totient is φ = 179504640.

The previous prime is 431121403. The next prime is 431121413. The reversal of 431121404 is 404121134.

It is a super-3 number, since 3×431121404³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431121401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1279124 + ... + 1279460.

It is an arithmetic number, because the mean of its divisors is an integer number (12542166).

Almost surely, 2^431121404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431121404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451517976).

431121404 is an abundant number, since it is smaller than the sum of its proper divisors (471914548).

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

431121404 is a wasteful number, since it uses less digits than its factorization.

431121404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 431121404 is about 20763.4631986092. The cubic root of 431121404 is about 755.4397998975.

Adding to 431121404 its reverse (404121134), we get a palindrome (835242538).

The spelling of 431121404 in words is "four hundred thirty-one million, one hundred twenty-one thousand, four hundred four".