5312400 has 120 divisors (see below), whose sum is σ = 17989920. Its totient is φ = 1336320.

The previous prime is 5312393. The next prime is 5312453. The reversal of 5312400 is 42135.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5312400.

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, 22684 + ... + 22916.

It is an arithmetic number, because the mean of its divisors is an integer number (149916).

Almost surely, 2^5312400 is an apocalyptic number.

5312400 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 5312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8994960).

5312400 is an abundant number, since it is smaller than the sum of its proper divisors (12677520).

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

5312400 is a wasteful number, since it uses less digits than its factorization.

5312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5312400 is about 2304.8644211754. The cubic root of 5312400 is about 174.4872063373.

Adding to 5312400 its reverse (42135), we get a palindrome (5354535).

The spelling of 5312400 in words is "five million, three hundred twelve thousand, four hundred".