5792400 has 90 divisors (see below), whose sum is σ = 20113730. Its totient is φ = 1543680.

The previous prime is 5792383. The next prime is 5792407. The reversal of 5792400 is 42975.

It can be written as a sum of positive squares in 3 ways, for example, as 1679616 + 4112784 = 1296^2 + 2028^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5792407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2796 + ... + 4404.

Almost surely, 2^5792400 is an apocalyptic number.

5792400 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 5792400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10056865).

5792400 is an abundant number, since it is smaller than the sum of its proper divisors (14321330).

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

5792400 is a wasteful number, since it uses less digits than its factorization.

5792400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5792400 is about 2406.7405344158. The cubic root of 5792400 is about 179.5916669827.

The spelling of 5792400 in words is "five million, seven hundred ninety-two thousand, four hundred".