4778480 has 120 divisors (see below), whose sum is σ = 13740192. Its totient is φ = 1537536.

The previous prime is 4778467. The next prime is 4778483. The reversal of 4778480 is 848774.

It is a super-3 number, since 3×4778480³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4778483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90134 + ... + 90186.

Almost surely, 2^4778480 is an apocalyptic number.

4778480 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 4778480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6870096).

4778480 is an abundant number, since it is smaller than the sum of its proper divisors (8961712).

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

4778480 is a wasteful number, since it uses less digits than its factorization.

4778480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The square root of 4778480 is about 2185.9734673596. The cubic root of 4778480 is about 168.4340627285.

The spelling of 4778480 in words is "four million, seven hundred seventy-eight thousand, four hundred eighty".