537509280 has 192 divisors, whose sum is σ = 2111090688. Its totient is φ = 111682560.

The previous prime is 537509267. The next prime is 537509299. The reversal of 537509280 is 82905735.

It is a super-2 number, since 2×537509280² = 577832452172236800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 29689 + ... + 44231.

It is an arithmetic number, because the mean of its divisors is an integer number (10995264).

Almost surely, 2^537509280 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 537509280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055545344).

537509280 is an abundant number, since it is smaller than the sum of its proper divisors (1573581408).

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

537509280 is a wasteful number, since it uses less digits than its factorization.

537509280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14579 (or 14571 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 537509280 is about 23184.2463755025. The cubic root of 537509280 is about 813.0713450428.

The spelling of 537509280 in words is "five hundred thirty-seven million, five hundred nine thousand, two hundred eighty".