5746400 has 72 divisors (see below), whose sum is σ = 15327144. Its totient is φ = 2086400.

The previous prime is 5746397. The next prime is 5746409. The reversal of 5746400 is 46475.

5746400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5746400² = 66042225920000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5746400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5746409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8474 + ... + 9126.

It is an arithmetic number, because the mean of its divisors is an integer number (212877).

Almost surely, 2^5746400 is an apocalyptic number.

5746400 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 5746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7663572).

5746400 is an abundant number, since it is smaller than the sum of its proper divisors (9580744).

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

5746400 is a wasteful number, since it uses less digits than its factorization.

5746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 5746400 is about 2397.1649922356. The cubic root of 5746400 is about 179.1149974197.

The spelling of 5746400 in words is "five million, seven hundred forty-six thousand, four hundred".