537089280 has 576 divisors, whose sum is σ = 2225180160. Its totient is φ = 107347968.

The previous prime is 537089269. The next prime is 537089281. The reversal of 537089280 is 82980735.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537089281) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10133734 + ... + 10133786.

It is an arithmetic number, because the mean of its divisors is an integer number (3863160).

Almost surely, 2^537089280 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 537089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112590080).

537089280 is an abundant number, since it is smaller than the sum of its proper divisors (1688090880).

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

537089280 is a wasteful number, since it uses less digits than its factorization.

537089280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 537089280 is about 23175.1867306393. The cubic root of 537089280 is about 812.8595167942.

The spelling of 537089280 in words is "five hundred thirty-seven million, eighty-nine thousand, two hundred eighty".