5040400 has 30 divisors (see below), whose sum is σ = 12110522. Its totient is φ = 2016000.

The previous prime is 5040397. The next prime is 5040401. The reversal of 5040400 is 40405.

It can be written as a sum of positive squares in 3 ways, for example, as 147456 + 4892944 = 384^2 + 2212^2 .

It is not an unprimeable number, because it can be changed into a prime (5040401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5901 + ... + 6700.

Almost surely, 2^5040400 is an apocalyptic number.

5040400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5040400 is an abundant number, since it is smaller than the sum of its proper divisors (7070122).

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

5040400 is a wasteful number, since it uses less digits than its factorization.

5040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12619 (or 12608 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 5040400 is about 2245.0835173775. The cubic root of 5040400 is about 171.4569133035.

Adding to 5040400 its reverse (40405), we get a palindrome (5080805).

The spelling of 5040400 in words is "five million, forty thousand, four hundred".