537724000 has 192 divisors, whose sum is σ = 1467595584. Its totient is φ = 193600000.

The previous prime is 537723983. The next prime is 537724001. The reversal of 537724000 is 427735.

It is a self number, because there is not a number n which added to its sum of digits gives 537724000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537724001) 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 31 ways as a sum of consecutive naturals, for example, 5323950 + ... + 5324050.

It is an arithmetic number, because the mean of its divisors is an integer number (7643727).

Almost surely, 2^537724000 is an apocalyptic number.

537724000 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 537724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733797792).

537724000 is an abundant number, since it is smaller than the sum of its proper divisors (929871584).

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

537724000 is a wasteful number, since it uses less digits than its factorization.

537724000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 537724000 is about 23188.8766437704. The cubic root of 537724000 is about 813.1795970885.

The spelling of 537724000 in words is "five hundred thirty-seven million, seven hundred twenty-four thousand".