5286400 has 120 divisors (see below), whose sum is σ = 15222240. Its totient is φ = 1781760.

The previous prime is 5286373. The next prime is 5286409. The reversal of 5286400 is 46825.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (5286409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89571 + ... + 89629.

It is an arithmetic number, because the mean of its divisors is an integer number (126852).

Almost surely, 2^5286400 is an apocalyptic number.

5286400 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 5286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7611120).

5286400 is an abundant number, since it is smaller than the sum of its proper divisors (9935840).

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

5286400 is an equidigital number, since it uses as much as digits as its factorization.

5286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 5286400 is about 2299.2172581120. The cubic root of 5286400 is about 174.2020816800.

The spelling of 5286400 in words is "five million, two hundred eighty-six thousand, four hundred".