531480456 has 96 divisors (see below), whose sum is σ = 1557443160. Its totient is φ = 162763776.

The previous prime is 531480451. The next prime is 531480541. The reversal of 531480456 is 654084135.

It is a happy number.

531480456 is a `hidden beast` number, since 531 + 4 + 80 + 45 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 419840100 + 111640356 = 20490^2 + 10566^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 531480456.

It is not an unprimeable number, because it can be changed into a prime (531480451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216870 + ... + 219306.

Almost surely, 2^531480456 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 531480456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778721580).

531480456 is an abundant number, since it is smaller than the sum of its proper divisors (1025962704).

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

531480456 is a wasteful number, since it uses less digits than its factorization.

531480456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 531480456 is about 23053.8598937358. The cubic root of 531480456 is about 810.0200452287.

The spelling of 531480456 in words is "five hundred thirty-one million, four hundred eighty thousand, four hundred fifty-six".