4728480 has 48 divisors (see below), whose sum is σ = 14896224. Its totient is φ = 1260800.

The previous prime is 4728433. The next prime is 4728487. The reversal of 4728480 is 848274.

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

It is a super-2 number, since 2×4728480² = 44717046220800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4728487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4446 + ... + 5405.

It is an arithmetic number, because the mean of its divisors is an integer number (310338).

Almost surely, 2^4728480 is an apocalyptic number.

4728480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4728480 is an abundant number, since it is smaller than the sum of its proper divisors (10167744).

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

4728480 is a wasteful number, since it uses less digits than its factorization.

4728480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9869 (or 9861 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 4728480 is about 2174.5068406423. The cubic root of 4728480 is about 167.8445273668.

The spelling of 4728480 in words is "four million, seven hundred twenty-eight thousand, four hundred eighty".