531457056 has 288 divisors, whose sum is σ = 1775854080. Its totient is φ = 149299200.

The previous prime is 531457013. The next prime is 531457057. The reversal of 531457056 is 650754135.

531457056 is a `hidden beast` number, since 5 + 31 + 4 + 570 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 531457056.

It is not an unprimeable number, because it can be changed into a prime (531457057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2205096 + ... + 2205336.

It is an arithmetic number, because the mean of its divisors is an integer number (6166160).

Almost surely, 2^531457056 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 531457056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887927040).

531457056 is an abundant number, since it is smaller than the sum of its proper divisors (1244397024).

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

531457056 is a wasteful number, since it uses less digits than its factorization.

531457056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 531457056 is about 23053.3523809445. The cubic root of 531457056 is about 810.0081572109.

The spelling of 531457056 in words is "five hundred thirty-one million, four hundred fifty-seven thousand, fifty-six".