5408131600 has 45 divisors (see below), whose sum is σ = 12996570727. Its totient is φ = 2162664320.

The previous prime is 5408131583. The next prime is 5408131601. The reversal of 5408131600 is 61318045.

The square root of 5408131600 is 73540.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 168688144 + 5239443456 = 12988^2 + 72384^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5408131601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1468962 + ... + 1472638.

Almost surely, 2^5408131600 is an apocalyptic number.

5408131600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5408131600 is the 73540-th square number.

It is an amenable number.

5408131600 is an abundant number, since it is smaller than the sum of its proper divisors (7588439127).

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

5408131600 is an frugal number, since it uses more digits than its factorization.

5408131600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7372 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The cubic root of 5408131600 is about 1755.2908287708.

Adding to 5408131600 its reverse (61318045), we get a palindrome (5469449645).

It can be divided in two parts, 540813 and 1600, that multiplied together give a triangular number (865300800 = T₄₁₆₀₀).

The spelling of 5408131600 in words is "five billion, four hundred eight million, one hundred thirty-one thousand, six hundred".