538964800 has 168 divisors, whose sum is σ = 1464941952. Its totient is φ = 193536000.

The previous prime is 538964771. The next prime is 538964801. The reversal of 538964800 is 8469835.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538964801) 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 23 ways as a sum of consecutive naturals, for example, 1988665 + ... + 1988935.

Almost surely, 2^538964800 is an apocalyptic number.

538964800 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 538964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732470976).

538964800 is an abundant number, since it is smaller than the sum of its proper divisors (925977152).

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

538964800 is a wasteful number, since it uses less digits than its factorization.

538964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 538964800 is about 23215.6154344441. The cubic root of 538964800 is about 813.8045881944.

The spelling of 538964800 in words is "five hundred thirty-eight million, nine hundred sixty-four thousand, eight hundred".