8509480 has 32 divisors (see below), whose sum is σ = 21882240. Its totient is φ = 2917440.

The previous prime is 8509453. The next prime is 8509483. The reversal of 8509480 is 849058.

8509480 = T₃₁₅ + T₃₁₆ + ... + T₄₃₄.

It is a super-2 number, since 2×8509480² = 144822499740800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8509483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14916 + ... + 15475.

It is an arithmetic number, because the mean of its divisors is an integer number (683820).

Almost surely, 2^8509480 is an apocalyptic number.

It is an amenable number.

8509480 is an abundant number, since it is smaller than the sum of its proper divisors (13372760).

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

8509480 is a wasteful number, since it uses less digits than its factorization.

8509480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30409 (or 30405 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 8509480 is about 2917.1013009493. The cubic root of 8509480 is about 204.1585976727.

The spelling of 8509480 in words is "eight million, five hundred nine thousand, four hundred eighty".