537947200 has 168 divisors, whose sum is σ = 1549351232. Its totient is φ = 179988480.

The previous prime is 537947173. The next prime is 537947231. The reversal of 537947200 is 2749735.

It is a self number, because there is not a number n which added to its sum of digits gives 537947200.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 481042 + ... + 482158.

Almost surely, 2^537947200 is an apocalyptic number.

537947200 is a gapful number since it is divisible by the number (50) 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 537947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774675616).

537947200 is an abundant number, since it is smaller than the sum of its proper divisors (1011404032).

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

537947200 is a wasteful number, since it uses less digits than its factorization.

537947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 537947200 is about 23193.6887967395. The cubic root of 537947200 is about 813.2920938211.

The spelling of 537947200 in words is "five hundred thirty-seven million, nine hundred forty-seven thousand, two hundred".