5506400 has 36 divisors (see below), whose sum is σ = 13444452. Its totient is φ = 2202240.

The previous prime is 5506387. The next prime is 5506421. The reversal of 5506400 is 46055.

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, 2642 + ... + 4241.

It is an arithmetic number, because the mean of its divisors is an integer number (373457).

Almost surely, 2^5506400 is an apocalyptic number.

5506400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5506400 is an abundant number, since it is smaller than the sum of its proper divisors (7938052).

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

5506400 is a wasteful number, since it uses less digits than its factorization.

5506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6903 (or 6890 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 5506400 is about 2346.5719677862. The cubic root of 5506400 is about 176.5858575881.

The spelling of 5506400 in words is "five million, five hundred six thousand, four hundred".