4874880 has 64 divisors (see below), whose sum is σ = 15544800. Its totient is φ = 1299456.

The previous prime is 4874879. The next prime is 4874899. The reversal of 4874880 is 884784.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 651 + ... + 3189.

Almost surely, 2^4874880 is an apocalyptic number.

4874880 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 4874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7772400).

4874880 is an abundant number, since it is smaller than the sum of its proper divisors (10669920).

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

4874880 is a wasteful number, since it uses less digits than its factorization.

4874880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 4874880 is about 2207.9130417659. The cubic root of 4874880 is about 169.5591808731.

It can be divided in two parts, 48748 and 80, that added together give a triangular number (48828 = T₃₁₂).

The spelling of 4874880 in words is "four million, eight hundred seventy-four thousand, eight hundred eighty".