538490400 has 432 divisors, whose sum is σ = 2155174560. Its totient is φ = 116121600.

The previous prime is 538490377. The next prime is 538490417. The reversal of 538490400 is 4094835.

538490400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2234280 + ... + 2234520.

It is an arithmetic number, because the mean of its divisors is an integer number (4988830).

Almost surely, 2^538490400 is an apocalyptic number.

538490400 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 538490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077587280).

538490400 is an abundant number, since it is smaller than the sum of its proper divisors (1616684160).

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

538490400 is a wasteful number, since it uses less digits than its factorization.

538490400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 538490400 is about 23205.3959242242. The cubic root of 538490400 is about 813.5657462358.

The spelling of 538490400 in words is "five hundred thirty-eight million, four hundred ninety thousand, four hundred".