4476768 has 24 divisors (see below), whose sum is σ = 11751768. Its totient is φ = 1492224.

The previous prime is 4476767. The next prime is 4476779. The reversal of 4476768 is 8676744.

It is a tau number, because it is divible by the number of its divisors (24).

It is a d-powerful number, because it can be written as 4³ + 4¹¹ + 7² + 6 + 7⁴ + 6⁷ + 8 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4476767) 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, 23221 + ... + 23412.

It is an arithmetic number, because the mean of its divisors is an integer number (489657).

Almost surely, 2^4476768 is an apocalyptic number.

4476768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4476768 is an abundant number, since it is smaller than the sum of its proper divisors (7275000).

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

4476768 is a wasteful number, since it uses less digits than its factorization.

4476768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46646 (or 46638 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 4476768 is about 2115.8374228659. The cubic root of 4476768 is about 164.8117596158.

The spelling of 4476768 in words is "four million, four hundred seventy-six thousand, seven hundred sixty-eight".