8457480 has 128 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 2188800.

The previous prime is 8457479. The next prime is 8457481. The reversal of 8457480 is 847548.

8457480 is a `hidden beast` number, since 8 + 4 + 574 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (8457479) and next prime (8457481).

It is a Smith number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (8457481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44185 + ... + 44375.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 2^8457480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8457480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

8457480 is an abundant number, since it is smaller than the sum of its proper divisors (20572920).

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

8457480 is a wasteful number, since it uses less digits than its factorization.

8457480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

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

The square root of 8457480 is about 2908.1746852622. The cubic root of 8457480 is about 203.7418880934.

The spelling of 8457480 in words is "eight million, four hundred fifty-seven thousand, four hundred eighty".