431124144 has 160 divisors (see below), whose sum is σ = 1282203648. Its totient is φ = 123552000.

The previous prime is 431124137. The next prime is 431124173. The reversal of 431124144 is 441421134.

It is a super-3 number, since 3×431124144³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1590729 + ... + 1590999.

Almost surely, 2^431124144 is an apocalyptic number.

431124144 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 431124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641101824).

431124144 is an abundant number, since it is smaller than the sum of its proper divisors (851079504).

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

431124144 is a wasteful number, since it uses less digits than its factorization.

431124144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 441 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 431124144 is about 20763.5291797902. The cubic root of 431124144 is about 755.4414002979.

Adding to 431124144 its reverse (441421134), we get a palindrome (872545278).

The spelling of 431124144 in words is "four hundred thirty-one million, one hundred twenty-four thousand, one hundred forty-four".