5751400 has 48 divisors (see below), whose sum is σ = 13531500. Its totient is φ = 2273280.

The previous prime is 5751377. The next prime is 5751407. The reversal of 5751400 is 41575.

5751400 = T₂₀₀ + T₂₀₁ + ... + T₃₄₈.

It can be written as a sum of positive squares in 6 ways, for example, as 470596 + 5280804 = 686^2 + 2298^2 .

It is not an unprimeable number, because it can be changed into a prime (5751407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29704 + ... + 29896.

Almost surely, 2^5751400 is an apocalyptic number.

5751400 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 5751400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6765750).

5751400 is an abundant number, since it is smaller than the sum of its proper divisors (7780100).

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

5751400 is a wasteful number, since it uses less digits than its factorization.

5751400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 5751400 is about 2398.2076640691. The cubic root of 5751400 is about 179.1669322753.

Adding to 5751400 its reverse (41575), we get a palindrome (5792975).

The spelling of 5751400 in words is "five million, seven hundred fifty-one thousand, four hundred".