5408409600 has 648 divisors, whose sum is σ = 21509814690. Its totient is φ = 1297612800.

The previous prime is 5408409571. The next prime is 5408409649. The reversal of 5408409600 is 69048045.

5408409600 is a `hidden beast` number, since 5 + 4 + 0 + 8 + 40 + 9 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3881788416 + 1526621184 = 62304^2 + 39072^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 55756752 + ... + 55756848.

Almost surely, 2^5408409600 is an apocalyptic number.

5408409600 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 5408409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10754907345).

5408409600 is an abundant number, since it is smaller than the sum of its proper divisors (16101405090).

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

5408409600 is a wasteful number, since it uses less digits than its factorization.

5408409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5408409600 is about 73541.8901035322. The cubic root of 5408409600 is about 1755.3209046224.

The spelling of 5408409600 in words is "five billion, four hundred eight million, four hundred nine thousand, six hundred".