537521400 has 576 divisors, whose sum is σ = 2178432000. Its totient is φ = 121305600.

The previous prime is 537521399. The next prime is 537521407. The reversal of 537521400 is 4125735.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537521407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17339385 + ... + 17339415.

It is an arithmetic number, because the mean of its divisors is an integer number (3782000).

Almost surely, 2^537521400 is an apocalyptic number.

537521400 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 537521400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089216000).

537521400 is an abundant number, since it is smaller than the sum of its proper divisors (1640910600).

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

537521400 is a wasteful number, since it uses less digits than its factorization.

537521400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 537521400 is about 23184.5077584149. The cubic root of 537521400 is about 813.0774561625.

The spelling of 537521400 in words is "five hundred thirty-seven million, five hundred twenty-one thousand, four hundred".