538400 has 36 divisors (see below), whose sum is σ = 1316322. Its totient is φ = 215040.

The previous prime is 538399. The next prime is 538411. The reversal of 538400 is 4835.

It can be written as a sum of positive squares in 3 ways, for example, as 355216 + 183184 = 596^2 + 428^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 464 + ... + 1136.

2⁵³⁸⁴⁰⁰ is an apocalyptic number.

538400 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 538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658161).

538400 is an abundant number, since it is smaller than the sum of its proper divisors (777922).

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

538400 is a wasteful number, since it uses less digits than its factorization.

538400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 538400 is about 733.7574531138. The cubic root of 538400 is about 81.3520217439.

The spelling of 538400 in words is "five hundred thirty-eight thousand, four hundred".