5774400 has 126 divisors (see below), whose sum is σ = 20574762. Its totient is φ = 1536000.

The previous prime is 5774387. The next prime is 5774411. The reversal of 5774400 is 44775.

It can be written as a sum of positive squares in 3 ways, for example, as 1806336 + 3968064 = 1344^2 + 1992^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14200 + ... + 14600.

Almost surely, 2^5774400 is an apocalyptic number.

5774400 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 5774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10287381).

5774400 is an abundant number, since it is smaller than the sum of its proper divisors (14800362).

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

5774400 is a wasteful number, since it uses less digits than its factorization.

5774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 5774400 is about 2402.9981273401. The cubic root of 5774400 is about 179.4054457096.

The spelling of 5774400 in words is "five million, seven hundred seventy-four thousand, four hundred".