5809488400 has 135 divisors (see below), whose sum is σ = 14485336551. Its totient is φ = 2239038720.

The previous prime is 5809488361. The next prime is 5809488403. The reversal of 5809488400 is 48849085.

The square root of 5809488400 is 76220.

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 551498256 + 5257990144 = 23484^2 + 72512^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5809488403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 56402749 + ... + 56402851.

Almost surely, 2^5809488400 is an apocalyptic number.

5809488400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5809488400 is the 76220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5809488400

5809488400 is an abundant number, since it is smaller than the sum of its proper divisors (8675848151).

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

5809488400 is a wasteful number, since it uses less digits than its factorization.

5809488400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The cubic root of 5809488400 is about 1797.6810054215.

It can be divided in two parts, 5809 and 488400, that added together give a square (494209 = 703²).

The spelling of 5809488400 in words is "five billion, eight hundred nine million, four hundred eighty-eight thousand, four hundred".