537260256 has 192 divisors, whose sum is σ = 1743114240. Its totient is φ = 159874560.

The previous prime is 537260249. The next prime is 537260261. The reversal of 537260256 is 652062735.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 537260256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347421 + ... + 348963.

It is an arithmetic number, because the mean of its divisors is an integer number (9078720).

Almost surely, 2^537260256 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 537260256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871557120).

537260256 is an abundant number, since it is smaller than the sum of its proper divisors (1205853984).

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

537260256 is a wasteful number, since it uses less digits than its factorization.

537260256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 537260256 is about 23178.8752099838. The cubic root of 537260256 is about 812.9457623708.

The spelling of 537260256 in words is "five hundred thirty-seven million, two hundred sixty thousand, two hundred fifty-six".