431144532 has 180 divisors, whose sum is σ = 1412643540. Its totient is φ = 113654016.

The previous prime is 431144503. The next prime is 431144543. The reversal of 431144532 is 235441134.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 224820036 + 206324496 = 14994^2 + 14364^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 431144496 and 431144505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 205344 + ... + 207432.

Almost surely, 2^431144532 is an apocalyptic number.

431144532 is a gapful number since it is divisible by the number (42) 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 431144532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706321770).

431144532 is an abundant number, since it is smaller than the sum of its proper divisors (981499008).

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

431144532 is a wasteful number, since it uses less digits than its factorization.

431144532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2114 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 431144532 is about 20764.0201309862. The cubic root of 431144532 is about 755.4533084661.

Adding to 431144532 its reverse (235441134), we get a palindrome (666585666).

The spelling of 431144532 in words is "four hundred thirty-one million, one hundred forty-four thousand, five hundred thirty-two".