8466480 has 120 divisors (see below), whose sum is σ = 31047120. Its totient is φ = 2050560.

The previous prime is 8466473. The next prime is 8466487. The reversal of 8466480 is 846648.

8466480 is a `hidden beast` number, since 8 + 4 + 6 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8466473) and next prime (8466487).

It is a tau number, because it is divible by the number of its divisors (120).

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 (8466487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7386 + ... + 8454.

It is an arithmetic number, because the mean of its divisors is an integer number (258726).

Almost surely, 2^8466480 is an apocalyptic number.

8466480 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 8466480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15523560).

8466480 is an abundant number, since it is smaller than the sum of its proper divisors (22580640).

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

8466480 is a wasteful number, since it uses less digits than its factorization.

8466480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8466480 is about 2909.7216361707. The cubic root of 8466480 is about 203.8141328969.

It can be divided in two parts, 84 and 66480, that added together give a square (66564 = 258²).

The spelling of 8466480 in words is "eight million, four hundred sixty-six thousand, four hundred eighty".