5736400 has 30 divisors (see below), whose sum is σ = 13782662. Its totient is φ = 2294400.

The previous prime is 5736371. The next prime is 5736431. The reversal of 5736400 is 46375.

It can be written as a sum of positive squares in 3 ways, for example, as 33856 + 5702544 = 184^2 + 2388^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6771 + ... + 7570.

Almost surely, 2^5736400 is an apocalyptic number.

5736400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5736400 is an abundant number, since it is smaller than the sum of its proper divisors (8046262).

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

5736400 is a wasteful number, since it uses less digits than its factorization.

5736400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14359 (or 14348 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 5736400 is about 2395.0782868207. The cubic root of 5736400 is about 179.0110372604.

Subtracting from 5736400 its sum of digits (25), we obtain a palindrome (5736375).

The spelling of 5736400 in words is "five million, seven hundred thirty-six thousand, four hundred".