5285400 has 96 divisors (see below), whose sum is σ = 17141760. Its totient is φ = 1344640.

The previous prime is 5285389. The next prime is 5285417. The reversal of 5285400 is 45825.

It is a Cunningham number, because it is equal to 2299²-1.

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

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, 13609 + ... + 13991.

It is an arithmetic number, because the mean of its divisors is an integer number (178560).

Almost surely, 2^5285400 is an apocalyptic number.

5285400 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 5285400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8570880).

5285400 is an abundant number, since it is smaller than the sum of its proper divisors (11856360).

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

5285400 is a wasteful number, since it uses less digits than its factorization.

5285400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 416 counting only the distinct ones).

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

The square root of 5285400 is about 2298.9997825141. Note that the first 3 decimals coincide. The cubic root of 5285400 is about 174.1910966954.

The spelling of 5285400 in words is "five million, two hundred eighty-five thousand, four hundred".