4768480 has 24 divisors (see below), whose sum is σ = 11265912. Its totient is φ = 1907328.

The previous prime is 4768471. The next prime is 4768481. The reversal of 4768480 is 848674.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4768481) 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, 14742 + ... + 15061.

It is an arithmetic number, because the mean of its divisors is an integer number (469413).

Almost surely, 2^4768480 is an apocalyptic number.

4768480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4768480 is an abundant number, since it is smaller than the sum of its proper divisors (6497432).

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

4768480 is a wasteful number, since it uses less digits than its factorization.

4768480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29818 (or 29810 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 4768480 is about 2183.6849589627. The cubic root of 4768480 is about 168.3164858042.

The spelling of 4768480 in words is "four million, seven hundred sixty-eight thousand, four hundred eighty".