5486400 has 168 divisors, whose sum is σ = 20157440. Its totient is φ = 1451520.

The previous prime is 5486389. The next prime is 5486407. The reversal of 5486400 is 46845.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5486407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43137 + ... + 43263.

Almost surely, 2^5486400 is an apocalyptic number.

5486400 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 5486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10078720).

5486400 is an abundant number, since it is smaller than the sum of its proper divisors (14671040).

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

5486400 is a wasteful number, since it uses less digits than its factorization.

5486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5486400 is about 2342.3065555132. The cubic root of 5486400 is about 176.3718035362.

It can be divided in two parts, 5486 and 400, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 5486400 in words is "five million, four hundred eighty-six thousand, four hundred".