538990400 has 84 divisors (see below), whose sum is σ = 1428327852. Its totient is φ = 199004160.

The previous prime is 538990393. The next prime is 538990453. The reversal of 538990400 is 4099835.

It can be written as a sum of positive squares in 6 ways, for example, as 41165056 + 497825344 = 6416^2 + 22312^2 .

It is a congruent number.

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, 7844 + ... + 33756.

It is an arithmetic number, because the mean of its divisors is an integer number (17003903).

Almost surely, 2^538990400 is an apocalyptic number.

538990400 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 538990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714163926).

538990400 is an abundant number, since it is smaller than the sum of its proper divisors (889337452).

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

538990400 is a wasteful number, since it uses less digits than its factorization.

538990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25948 (or 25933 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 538990400 is about 23216.1667809309. The cubic root of 538990400 is about 813.8174728130.

The spelling of 538990400 in words is "five hundred thirty-eight million, nine hundred ninety thousand, four hundred".