431513104 has 60 divisors (see below), whose sum is σ = 967420720. Its totient is φ = 185803200.

The previous prime is 431513101. The next prime is 431513167. The reversal of 431513104 is 401315134.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (431513101) by changing a digit.

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, 30919 + ... + 42649.

Almost surely, 2^431513104 is an apocalyptic number.

431513104 is a gapful number since it is divisible by the number (44) 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 431513104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483710360).

431513104 is an abundant number, since it is smaller than the sum of its proper divisors (535907616).

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

431513104 is a wasteful number, since it uses less digits than its factorization.

431513104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11780 (or 11763 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 431513104 is about 20772.8934912785. The cubic root of 431513104 is about 755.6685183017.

Adding to 431513104 its reverse (401315134), we get a palindrome (832828238).

The spelling of 431513104 in words is "four hundred thirty-one million, five hundred thirteen thousand, one hundred four".