4678480 has 20 divisors (see below), whose sum is σ = 10877652. Its totient is φ = 1871360.

The previous prime is 4678477. The next prime is 4678481. The reversal of 4678480 is 848764.

It can be written as a sum of positive squares in 2 ways, for example, as 3415104 + 1263376 = 1848^2 + 1124^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×4678480² = 43776350220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4678481) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29161 + ... + 29320.

Almost surely, 2^4678480 is an apocalyptic number.

4678480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4678480 is an abundant number, since it is smaller than the sum of its proper divisors (6199172).

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

4678480 is a wasteful number, since it uses less digits than its factorization.

4678480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58494 (or 58488 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 4678480 is about 2162.9794266243. The cubic root of 4678480 is about 167.2508212993.

It can be divided in two parts, 46784 and 80, that added together give a palindrome (46864).

The spelling of 4678480 in words is "four million, six hundred seventy-eight thousand, four hundred eighty".