5314400 has 144 divisors (see below), whose sum is σ = 16186464. Its totient is φ = 1658880.

The previous prime is 5314399. The next prime is 5314411. The reversal of 5314400 is 44135.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72764 + ... + 72836.

It is an arithmetic number, because the mean of its divisors is an integer number (112406).

Almost surely, 2^5314400 is an apocalyptic number.

5314400 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 5314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8093232).

5314400 is an abundant number, since it is smaller than the sum of its proper divisors (10872064).

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

5314400 is a wasteful number, since it uses less digits than its factorization.

5314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 5314400 is about 2305.2982453470. The cubic root of 5314400 is about 174.5091004359.

Adding to 5314400 its reverse (44135), we get a palindrome (5358535).

The spelling of 5314400 in words is "five million, three hundred fourteen thousand, four hundred".