538068400 has 60 divisors (see below), whose sum is σ = 1310488792. Its totient is φ = 212267520.

The previous prime is 538068337. The next prime is 538068431. The reversal of 538068400 is 4860835.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19987 + ... + 38413.

Almost surely, 2^538068400 is an apocalyptic number.

538068400 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 538068400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655244396).

538068400 is an abundant number, since it is smaller than the sum of its proper divisors (772420392).

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

538068400 is a wasteful number, since it uses less digits than its factorization.

538068400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18518 (or 18507 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 538068400 is about 23196.3014293227. The cubic root of 538068400 is about 813.3531677208.

The spelling of 538068400 in words is "five hundred thirty-eight million, sixty-eight thousand, four hundred".