4786480 has 80 divisors (see below), whose sum is σ = 12142080. Its totient is φ = 1748736.

The previous prime is 4786477. The next prime is 4786541. The reversal of 4786480 is 846874.

4786480 = T₃₄₄ + T₃₄₅ + ... + T₄₁₀.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 71407 + ... + 71473.

It is an arithmetic number, because the mean of its divisors is an integer number (151776).

Almost surely, 2^4786480 is an apocalyptic number.

4786480 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 4786480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071040).

4786480 is an abundant number, since it is smaller than the sum of its proper divisors (7355600).

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

4786480 is a wasteful number, since it uses less digits than its factorization.

4786480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

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

The square root of 4786480 is about 2187.8025505059. The cubic root of 4786480 is about 168.5280062164.

The spelling of 4786480 in words is "four million, seven hundred eighty-six thousand, four hundred eighty".