4968480 has 96 divisors (see below), whose sum is σ = 17091648. Its totient is φ = 1203200.

The previous prime is 4968479. The next prime is 4968487. The reversal of 4968480 is 848694.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4968487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4810 + ... + 5750.

It is an arithmetic number, because the mean of its divisors is an integer number (178038).

Almost surely, 2^4968480 is an apocalyptic number.

4968480 is a gapful number since it is divisible by the number (40) 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 4968480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8545824).

4968480 is an abundant number, since it is smaller than the sum of its proper divisors (12123168).

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

4968480 is a wasteful number, since it uses less digits than its factorization.

4968480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 4968480 is about 2229.0087483005. The cubic root of 4968480 is about 170.6375140092.

Subtracting from 4968480 its sum of digits (39), we obtain a square (4968441 = 2229²).

The spelling of 4968480 in words is "four million, nine hundred sixty-eight thousand, four hundred eighty".