5409884160 has 384 divisors, whose sum is σ = 20379340800. Its totient is φ = 1356595200.

The previous prime is 5409884147. The next prime is 5409884167. The reversal of 5409884160 is 614889045.

5409884160 is a `hidden beast` number, since 5 + 409 + 8 + 84 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5409884167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4699585 + ... + 4700735.

It is an arithmetic number, because the mean of its divisors is an integer number (53071200).

Almost surely, 2^5409884160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5409884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10189670400).

5409884160 is an abundant number, since it is smaller than the sum of its proper divisors (14969456640).

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

5409884160 is a wasteful number, since it uses less digits than its factorization.

5409884160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 5409884160 is about 73551.9147269464. The cubic root of 5409884160 is about 1755.4804149030.

The spelling of 5409884160 in words is "five billion, four hundred nine million, eight hundred eighty-four thousand, one hundred sixty".