4576880 has 80 divisors (see below), whose sum is σ = 13284864. Its totient is φ = 1424640.

The previous prime is 4576879. The next prime is 4576889. The reversal of 4576880 is 886754.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4576889) 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 15 ways as a sum of consecutive naturals, for example, 5789 + ... + 6531.

Almost surely, 2^4576880 is an apocalyptic number.

4576880 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 4576880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6642432).

4576880 is an abundant number, since it is smaller than the sum of its proper divisors (8707984).

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

4576880 is a wasteful number, since it uses less digits than its factorization.

4576880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 4576880 is about 2139.3643915892. The cubic root of 4576880 is about 166.0312516765.

It can be divided in two parts, 457 and 6880, that added together give a palindrome (7337).

The spelling of 4576880 in words is "four million, five hundred seventy-six thousand, eight hundred eighty".