537541488 has 320 divisors, whose sum is σ = 1799884800. Its totient is φ = 152064000.

The previous prime is 537541463. The next prime is 537541549. The reversal of 537541488 is 884145735.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6039748 + ... + 6039836.

It is an arithmetic number, because the mean of its divisors is an integer number (5624640).

Almost surely, 2^537541488 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 537541488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899942400).

537541488 is an abundant number, since it is smaller than the sum of its proper divisors (1262343312).

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

537541488 is a wasteful number, since it uses less digits than its factorization.

537541488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 537541488 is about 23184.9409746930. The cubic root of 537541488 is about 813.0875846873.

The spelling of 537541488 in words is "five hundred thirty-seven million, five hundred forty-one thousand, four hundred eighty-eight".