4676448 has 48 divisors (see below), whose sum is σ = 14031360. Its totient is φ = 1335936.

The previous prime is 4676447. The next prime is 4676449. The reversal of 4676448 is 8446764.

It is an interprime number because it is at equal distance from previous prime (4676447) and next prime (4676449).

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4676447) 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 7 ways as a sum of consecutive naturals, for example, 2808 + ... + 4151.

It is an arithmetic number, because the mean of its divisors is an integer number (292320).

Almost surely, 2^4676448 is an apocalyptic number.

4676448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4676448 is an abundant number, since it is smaller than the sum of its proper divisors (9354912).

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

4676448 is a wasteful number, since it uses less digits than its factorization.

4676448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6979 (or 6971 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 4676448 is about 2162.5096531576. The cubic root of 4676448 is about 167.2266038267.

The spelling of 4676448 in words is "four million, six hundred seventy-six thousand, four hundred forty-eight".