4578480 has 60 divisors (see below), whose sum is σ = 15378480. Its totient is φ = 1220736.

The previous prime is 4578467. The next prime is 4578481. The reversal of 4578480 is 848754.

4578480 is a `hidden beast` number, since 4 + 578 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×4578480² = 41924958220800, which contains 22 as substring.

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 (4578481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2460 + ... + 3899.

It is an arithmetic number, because the mean of its divisors is an integer number (256308).

Almost surely, 2^4578480 is an apocalyptic number.

4578480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4578480 is an abundant number, since it is smaller than the sum of its proper divisors (10800000).

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

4578480 is a wasteful number, since it uses less digits than its factorization.

4578480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6378 (or 6369 counting only the distinct ones).

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

The square root of 4578480 is about 2139.7383017556. The cubic root of 4578480 is about 166.0505966635.

The spelling of 4578480 in words is "four million, five hundred seventy-eight thousand, four hundred eighty".