5254800 has 120 divisors (see below), whose sum is σ = 17528640. Its totient is φ = 1344000.

The previous prime is 5254793. The next prime is 5254801. The reversal of 5254800 is 84525.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×5254800² = 55225846080000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5254801) 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, 34725 + ... + 34875.

It is an arithmetic number, because the mean of its divisors is an integer number (146072).

Almost surely, 2^5254800 is an apocalyptic number.

5254800 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 5254800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8764320).

5254800 is an abundant number, since it is smaller than the sum of its proper divisors (12273840).

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

5254800 is a wasteful number, since it uses less digits than its factorization.

5254800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 5254800 is about 2292.3350540442. The cubic root of 5254800 is about 173.8542841349.

The spelling of 5254800 in words is "five million, two hundred fifty-four thousand, eight hundred".