5538400 has 144 divisors (see below), whose sum is σ = 16498944. Its totient is φ = 1774080.

The previous prime is 5538371. The next prime is 5538431. The reversal of 5538400 is 48355.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 128779 + ... + 128821.

It is an arithmetic number, because the mean of its divisors is an integer number (114576).

Almost surely, 2^5538400 is an apocalyptic number.

5538400 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 5538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8249472).

5538400 is an abundant number, since it is smaller than the sum of its proper divisors (10960544).

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

5538400 is a wasteful number, since it uses less digits than its factorization.

5538400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 5538400 is about 2353.3805472129. The cubic root of 5538400 is about 176.9272685740.

The spelling of 5538400 in words is "five million, five hundred thirty-eight thousand, four hundred".