537059376 has 320 divisors, whose sum is σ = 1931304960. Its totient is φ = 139345920.

The previous prime is 537059371. The next prime is 537059417. The reversal of 537059376 is 673950735.

537059376 is a `hidden beast` number, since 53 + 7 + 0 + 593 + 7 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (537059371) 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, 1593480 + ... + 1593816.

It is an arithmetic number, because the mean of its divisors is an integer number (6035328).

Almost surely, 2^537059376 is an apocalyptic number.

537059376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537059376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965652480).

537059376 is an abundant number, since it is smaller than the sum of its proper divisors (1394245584).

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

537059376 is a wasteful number, since it uses less digits than its factorization.

537059376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 45.

The square root of 537059376 is about 23174.5415488635. The cubic root of 537059376 is about 812.8444304122.

It can be divided in two parts, 5370 and 59376, that added together give a palindrome (64746).

The spelling of 537059376 in words is "five hundred thirty-seven million, fifty-nine thousand, three hundred seventy-six".