5310400 has 42 divisors (see below), whose sum is σ = 13070840. Its totient is φ = 2123520.

The previous prime is 5310379. The next prime is 5310427. The reversal of 5310400 is 40135.

5310400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60 + ... + 3259.

Almost surely, 2^5310400 is an apocalyptic number.

5310400 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 5310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535420).

5310400 is an abundant number, since it is smaller than the sum of its proper divisors (7760440).

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

5310400 is a wasteful number, since it uses less digits than its factorization.

5310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3341 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 5310400 is about 2304.4305153335. The cubic root of 5310400 is about 174.4653067429.

Adding to 5310400 its reverse (40135), we get a palindrome (5350535).

The spelling of 5310400 in words is "five million, three hundred ten thousand, four hundred".