5734400 has 96 divisors (see below), whose sum is σ = 16252680. Its totient is φ = 1966080.

The previous prime is 5734357. The next prime is 5734439. The reversal of 5734400 is 44375.

It is an Ulam number.

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, 819197 + ... + 819203.

Almost surely, 2^5734400 is an apocalyptic number.

5734400 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 5734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8126340).

5734400 is an abundant number, since it is smaller than the sum of its proper divisors (10518280).

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

5734400 is an frugal number, since it uses more digits than its factorization.

5734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 5734400 is about 2394.6607275353. The cubic root of 5734400 is about 178.9902307330.

Adding to 5734400 its reverse (44375), we get a palindrome (5778775).

The spelling of 5734400 in words is "five million, seven hundred thirty-four thousand, four hundred".