537188480 has 64 divisors (see below), whose sum is σ = 1291167000. Its totient is φ = 213712896.

The previous prime is 537188453. The next prime is 537188497. The reversal of 537188480 is 84881735.

It can be written as a sum of positive squares in 4 ways, for example, as 198922816 + 338265664 = 14104^2 + 18392^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121346 + ... + 125694.

Almost surely, 2^537188480 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 537188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645583500).

537188480 is an abundant number, since it is smaller than the sum of its proper divisors (753978520).

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

537188480 is a wasteful number, since it uses less digits than its factorization.

537188480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561 (or 4549 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The square root of 537188480 is about 23177.3268519042. The cubic root of 537188480 is about 812.9095585676.

The spelling of 537188480 in words is "five hundred thirty-seven million, one hundred eighty-eight thousand, four hundred eighty".