5045600 has 144 divisors (see below), whose sum is σ = 15186528. Its totient is φ = 1597440.

The previous prime is 5045581. The next prime is 5045609. The reversal of 5045600 is 65405.

5045600 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

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

5045600 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5045609) 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, 95174 + ... + 95226.

It is an arithmetic number, because the mean of its divisors is an integer number (105462).

Almost surely, 2^5045600 is an apocalyptic number.

5045600 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 5045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7593264).

5045600 is an abundant number, since it is smaller than the sum of its proper divisors (10140928).

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

5045600 is a wasteful number, since it uses less digits than its factorization.

5045600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 84 counting only the distinct ones).

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

The square root of 5045600 is about 2246.2413049359. The cubic root of 5045600 is about 171.5158550225.

It can be divided in two parts, 504 and 5600, that multiplied together give a square (2822400 = 1680²).

The spelling of 5045600 in words is "five million, forty-five thousand, six hundred".