4604880 has 80 divisors (see below), whose sum is σ = 16320384. Its totient is φ = 1052160.

The previous prime is 4604857. The next prime is 4604903. The reversal of 4604880 is 884064.

4604880 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4604857) and next prime (4604903).

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

It is a super-3 number, since 3×4604880³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310 + ... + 3050.

Almost surely, 2^4604880 is an apocalyptic number.

4604880 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 4604880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8160192).

4604880 is an abundant number, since it is smaller than the sum of its proper divisors (11715504).

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

4604880 is a wasteful number, since it uses less digits than its factorization.

4604880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4604880 is about 2145.8984132526. The cubic root of 4604880 is about 166.3691402955.

The spelling of 4604880 in words is "four million, six hundred four thousand, eight hundred eighty".