5713400 has 144 divisors (see below), whose sum is σ = 17175240. Its totient is φ = 1747200.

The previous prime is 5713399. The next prime is 5713403. The reversal of 5713400 is 43175.

5713400 = 466² + 467² + ... + 490².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5713403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107774 + ... + 107826.

Almost surely, 2^5713400 is an apocalyptic number.

5713400 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 5713400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8587620).

5713400 is an abundant number, since it is smaller than the sum of its proper divisors (11461840).

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

5713400 is a wasteful number, since it uses less digits than its factorization.

5713400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 5713400 is about 2390.2719510549. The cubic root of 5713400 is about 178.7714695388.

Adding to 5713400 its reverse (43175), we get a palindrome (5756575).

The spelling of 5713400 in words is "five million, seven hundred thirteen thousand, four hundred".