8054484480 has 800 divisors, whose sum is σ = 34223523840. Its totient is φ = 1771683840.

The previous prime is 8054484479. The next prime is 8054484491. The reversal of 8054484480 is 844844508.

8054484480 is a `hidden beast` number, since 80 + 54 + 48 + 4 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44997031 + ... + 44997209.

Almost surely, 2^8054484480 is an apocalyptic number.

8054484480 is a gapful number since it is divisible by the number (80) 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 8054484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17111761920).

8054484480 is an abundant number, since it is smaller than the sum of its proper divisors (26169039360).

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

8054484480 is a wasteful number, since it uses less digits than its factorization.

8054484480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 227 counting only the distinct ones).

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

The square root of 8054484480 is about 89746.7797750983. The cubic root of 8054484480 is about 2004.5301046620.

The spelling of 8054484480 in words is "eight billion, fifty-four million, four hundred eighty-four thousand, four hundred eighty".