536979456 has 288 divisors, whose sum is σ = 1752922080. Its totient is φ = 163233792.

The previous prime is 536979451. The next prime is 536979467. The reversal of 536979456 is 654979635.

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 (54).

It is not an unprimeable number, because it can be changed into a prime (536979451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6469591 + ... + 6469673.

It is an arithmetic number, because the mean of its divisors is an integer number (6086535).

Almost surely, 2^536979456 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 536979456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876461040).

536979456 is an abundant number, since it is smaller than the sum of its proper divisors (1215942624).

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

536979456 is an equidigital number, since it uses as much as digits as its factorization.

536979456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 101 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 54.

The square root of 536979456 is about 23172.8171787549. The cubic root of 536979456 is about 812.8041085208.

The spelling of 536979456 in words is "five hundred thirty-six million, nine hundred seventy-nine thousand, four hundred fifty-six".