5856400 has 75 divisors (see below), whose sum is σ = 15476905.
Its totient is φ = 2129600.
The previous prime is 5856379. The next prime is 5856401. The reversal of 5856400 is 46585.
5856400 = T53 + T54 + ... +
The square root of 5856400 is 2420.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 2108304 + 3748096 = 1452^2 + 1936^2
It is not an unprimeable number, because it can be changed into a prime (5856401) by changing a digit.
It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 532395 + ... + 532405.
Almost surely, 25856400 is an apocalyptic number.
5856400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.
5856400 is the 2420-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 5856400
5856400 is an abundant number, since it is smaller than the sum of its proper divisors (9620505).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5856400 is an equidigital number, since it uses as much as digits as its factorization.
5856400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 62 (or 18 counting only the distinct ones).
The product of its (nonzero) digits is 4800, while the sum is 28.
The cubic root of 5856400 is about 180.2506795321.
The spelling of 5856400 in words is "five million, eight hundred fifty-six thousand, four hundred".