537384960 has 576 divisors, whose sum is σ = 2299752000. Its totient is φ = 115605504.

The previous prime is 537384959. The next prime is 537384971. The reversal of 537384960 is 69483735.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31610872 + ... + 31610888.

It is an arithmetic number, because the mean of its divisors is an integer number (3992625).

Almost surely, 2^537384960 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 537384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149876000).

537384960 is an abundant number, since it is smaller than the sum of its proper divisors (1762367040).

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

537384960 is a wasteful number, since it uses less digits than its factorization.

537384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 537384960 is about 23181.5650895275. The cubic root of 537384960 is about 813.0086553819.

The spelling of 537384960 in words is "five hundred thirty-seven million, three hundred eighty-four thousand, nine hundred sixty".