4876416 has 128 divisors (see below), whose sum is σ = 15422400. Its totient is φ = 1511424.

The previous prime is 4876397. The next prime is 4876423. The reversal of 4876416 is 6146784.

4876416 is a `hidden beast` number, since 4 + 8 + 7 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 58711 + ... + 58793.

Almost surely, 2^4876416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4876416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711200).

4876416 is an abundant number, since it is smaller than the sum of its proper divisors (10545984).

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

4876416 is a wasteful number, since it uses less digits than its factorization.

4876416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 4876416 is about 2208.2608541565. The cubic root of 4876416 is about 169.5769875030.

It can be divided in two parts, 487 and 6416, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 4876416 in words is "four million, eight hundred seventy-six thousand, four hundred sixteen".