5506300 has 72 divisors (see below), whose sum is σ = 13124160. Its totient is φ = 1996800.

The previous prime is 5506297. The next prime is 5506301. The reversal of 5506300 is 36055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5506301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69661 + ... + 69739.

It is an arithmetic number, because the mean of its divisors is an integer number (182280).

Almost surely, 2^5506300 is an apocalyptic number.

5506300 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 5506300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562080).

5506300 is an abundant number, since it is smaller than the sum of its proper divisors (7617860).

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

5506300 is a wasteful number, since it uses less digits than its factorization.

5506300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 5506300 is about 2346.5506600114. The cubic root of 5506300 is about 176.5847886082.

The spelling of 5506300 in words is "five million, five hundred six thousand, three hundred".