5258400 has 144 divisors (see below), whose sum is σ = 19623744. Its totient is φ = 1198080.

The previous prime is 5258399. The next prime is 5258413. The reversal of 5258400 is 48525.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

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, 16644 + ... + 16956.

It is an arithmetic number, because the mean of its divisors is an integer number (136276).

Almost surely, 2^5258400 is an apocalyptic number.

5258400 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 5258400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9811872).

5258400 is an abundant number, since it is smaller than the sum of its proper divisors (14365344).

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

5258400 is a wasteful number, since it uses less digits than its factorization.

5258400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 330 counting only the distinct ones).

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

The square root of 5258400 is about 2293.1201451298. The cubic root of 5258400 is about 173.8939768953.

It can be divided in two parts, 525 and 8400, that multiplied together give a square (4410000 = 2100²).

The spelling of 5258400 in words is "five million, two hundred fifty-eight thousand, four hundred".