4779648 has 80 divisors (see below), whose sum is σ = 14255010. Its totient is φ = 1589760.

The previous prime is 4779631. The next prime is 4779661. The reversal of 4779648 is 8469774.

It can be written as a sum of positive squares in only one way, i.e., 4359744 + 419904 = 2088^2 + 648^2 .

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3 and base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10138 + ... + 10598.

Almost surely, 2^4779648 is an apocalyptic number.

4779648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

4779648 is the 1383-rd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4779648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7127505).

4779648 is an abundant number, since it is smaller than the sum of its proper divisors (9475362).

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

4779648 is an equidigital number, since it uses as much as digits as its factorization.

4779648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 466 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 4779648 is about 2186.2406088992. The cubic root of 4779648 is about 168.4477850111.

The spelling of 4779648 in words is "four million, seven hundred seventy-nine thousand, six hundred forty-eight".