5716400 has 60 divisors (see below), whose sum is σ = 14207424. Its totient is φ = 2208000.

The previous prime is 5716391. The next prime is 5716409. The reversal of 5716400 is 46175.

It is an interprime number because it is at equal distance from previous prime (5716391) and next prime (5716409).

It is not an unprimeable number, because it can be changed into a prime (5716409) 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, 12170 + ... + 12630.

Almost surely, 2^5716400 is an apocalyptic number.

5716400 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 5716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7103712).

5716400 is an abundant number, since it is smaller than the sum of its proper divisors (8491024).

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

5716400 is a wasteful number, since it uses less digits than its factorization.

5716400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 5716400 is about 2390.8994123551. The cubic root of 5716400 is about 178.8027539210.

It can be divided in two parts, 5716 and 400, that added together give a palindrome (6116).

The spelling of 5716400 in words is "five million, seven hundred sixteen thousand, four hundred".