4666880448 has 280 divisors, whose sum is σ = 14715439200. Its totient is φ = 1459648512.

The previous prime is 4666880441. The next prime is 4666880459. The reversal of 4666880448 is 8440886664.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4666880394 and 4666880403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4666880441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5562013 + ... + 5562851.

It is an arithmetic number, because the mean of its divisors is an integer number (52555140).

Almost surely, 2^4666880448 is an apocalyptic number.

4666880448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4666880448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7357719600).

4666880448 is an abundant number, since it is smaller than the sum of its proper divisors (10048558752).

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

4666880448 is a wasteful number, since it uses less digits than its factorization.

4666880448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The square root of 4666880448 is about 68314.5698076186. The cubic root of 4666880448 is about 1671.1248291109.

The spelling of 4666880448 in words is "four billion, six hundred sixty-six million, eight hundred eighty thousand, four hundred forty-eight".