538824000 has 448 divisors, whose sum is σ = 2103558912. Its totient is φ = 119808000.

The previous prime is 538823981. The next prime is 538824017. The reversal of 538824000 is 428835.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3431922 + ... + 3432078.

It is an arithmetic number, because the mean of its divisors is an integer number (4695444).

Almost surely, 2^538824000 is an apocalyptic number.

538824000 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 538824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051779456).

538824000 is an abundant number, since it is smaller than the sum of its proper divisors (1564734912).

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

538824000 is a wasteful number, since it uses less digits than its factorization.

538824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 538824000 is about 23212.5827946827. The cubic root of 538824000 is about 813.7337154983.

The spelling of 538824000 in words is "five hundred thirty-eight million, eight hundred twenty-four thousand".