431401104 has 60 divisors (see below), whose sum is σ = 1214372796. Its totient is φ = 142960896.

The previous prime is 431401043. The next prime is 431401121. The reversal of 431401104 is 401104134.

It can be written as a sum of positive squares in 2 ways, for example, as 380250000 + 51151104 = 19500^2 + 7152^2 .

It is a super-2 number, since 2×431401104² = 372213825064837632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16254 + ... + 33570.

Almost surely, 2^431401104 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 431401104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607186398).

431401104 is an abundant number, since it is smaller than the sum of its proper divisors (782971692).

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

431401104 is a wasteful number, since it uses less digits than its factorization.

431401104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17504 (or 17495 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 431401104 is about 20770.1974954501. The cubic root of 431401104 is about 755.6031342715.

Adding to 431401104 its reverse (401104134), we get a palindrome (832505238).

It can be divided in two parts, 43140 and 1104, that added together give a palindrome (44244).

The spelling of 431401104 in words is "four hundred thirty-one million, four hundred one thousand, one hundred four".