8474388480 has 480 divisors, whose sum is σ = 32215102920. Its totient is φ = 2123366400.

The previous prime is 8474388467. The next prime is 8474388487. The reversal of 8474388480 is 848834748.

It is a happy number.

8474388480 is a `hidden beast` number, since 8 + 47 + 43 + 88 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8334959616 + 139428864 = 91296^2 + 11808^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8474388487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14100180 + ... + 14100780.

Almost surely, 2^8474388480 is an apocalyptic number.

8474388480 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 8474388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16107551460).

8474388480 is an abundant number, since it is smaller than the sum of its proper divisors (23740714440).

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

8474388480 is a wasteful number, since it uses less digits than its factorization.

8474388480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The square root of 8474388480 is about 92056.4418169636. The cubic root of 8474388480 is about 2038.7757360184.

The spelling of 8474388480 in words is "eight billion, four hundred seventy-four million, three hundred eighty-eight thousand, four hundred eighty".