5209800 has 96 divisors (see below), whose sum is σ = 17037600. Its totient is φ = 1313280.

The previous prime is 5209783. The next prime is 5209817. The reversal of 5209800 is 89025.

It is an interprime number because it is at equal distance from previous prime (5209783) and next prime (5209817).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11172 + ... + 11628.

It is an arithmetic number, because the mean of its divisors is an integer number (177475).

Almost surely, 2^5209800 is an apocalyptic number.

5209800 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 5209800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8518800).

5209800 is an abundant number, since it is smaller than the sum of its proper divisors (11827800).

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

5209800 is a wasteful number, since it uses less digits than its factorization.

5209800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 5209800 is about 2282.4986308868. The cubic root of 5209800 is about 173.3565879385.

The spelling of 5209800 in words is "five million, two hundred nine thousand, eight hundred".