8470500480 has 320 divisors, whose sum is σ = 32579177400. Its totient is φ = 2084880384.

The previous prime is 8470500457. The next prime is 8470500487. The reversal of 8470500480 is 840050748.

8470500480 is a `hidden beast` number, since 8 + 4 + 70 + 500 + 4 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7677965376 + 792535104 = 87624^2 + 28152^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (8470500487) 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, 667636 + ... + 680204.

Almost surely, 2^8470500480 is an apocalyptic number.

8470500480 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 8470500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16289588700).

8470500480 is an abundant number, since it is smaller than the sum of its proper divisors (24108676920).

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

8470500480 is a wasteful number, since it uses less digits than its factorization.

8470500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12613 (or 12592 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 8470500480 is about 92035.3219150126. The cubic root of 8470500480 is about 2038.4638955184.

The spelling of 8470500480 in words is "eight billion, four hundred seventy million, five hundred thousand, four hundred eighty".