4548408480 has 1152 divisors, whose sum is σ = 21737963520. Its totient is φ = 836075520.

The previous prime is 4548408433. The next prime is 4548408509. The reversal of 4548408480 is 848048454.

4548408480 is a `hidden beast` number, since 454 + 8 + 40 + 84 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35814177 + ... + 35814303.

It is an arithmetic number, because the mean of its divisors is an integer number (18869760).

Almost surely, 2^4548408480 is an apocalyptic number.

4548408480 is a gapful number since it is divisible by the number (40) 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 4548408480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10868981760).

4548408480 is an abundant number, since it is smaller than the sum of its proper divisors (17189555040).

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

4548408480 is a wasteful number, since it uses less digits than its factorization.

4548408480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The square root of 4548408480 is about 67441.8896532415. The cubic root of 4548408480 is about 1656.8625696043.

The spelling of 4548408480 in words is "four billion, five hundred forty-eight million, four hundred eight thousand, four hundred eighty".