538982400 has 432 divisors, whose sum is σ = 2026042200. Its totient is φ = 126156800.

The previous prime is 538982393. The next prime is 538982419. The reversal of 538982400 is 4289835.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18585586 + ... + 18585614.

Almost surely, 2^538982400 is an apocalyptic number.

538982400 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 538982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013021100).

538982400 is an abundant number, since it is smaller than the sum of its proper divisors (1487059800).

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

538982400 is a wasteful number, since it uses less digits than its factorization.

538982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 538982400 is about 23215.9944865603. The cubic root of 538982400 is about 813.8134464135.

The spelling of 538982400 in words is "five hundred thirty-eight million, nine hundred eighty-two thousand, four hundred".