531414432 has 120 divisors (see below), whose sum is σ = 1588968612. Its totient is φ = 174182400.

The previous prime is 531414421. The next prime is 531414449. The reversal of 531414432 is 234414135.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 516016656 + 15397776 = 22716^2 + 3924^2 .

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 = 531414396 and 531414405.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 156432 + ... + 159792.

Almost surely, 2^531414432 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 531414432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794484306).

531414432 is an abundant number, since it is smaller than the sum of its proper divisors (1057554180).

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

531414432 is a wasteful number, since it uses less digits than its factorization.

531414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444 (or 3427 counting only the distinct ones).

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

The square root of 531414432 is about 23052.4278981629. The cubic root of 531414432 is about 809.9865018327.

Adding to 531414432 its reverse (234414135), we get a palindrome (765828567).

The spelling of 531414432 in words is "five hundred thirty-one million, four hundred fourteen thousand, four hundred thirty-two".