4580900 has 36 divisors (see below), whose sum is σ = 10468080. Its totient is φ = 1735200.

The previous prime is 4580897. The next prime is 4580903. The reversal of 4580900 is 90854.

4580900 = 416² + 417² + ... + 440².

It is an interprime number because it is at equal distance from previous prime (4580897) and next prime (4580903).

It is a self number, because there is not a number n which added to its sum of digits gives 4580900.

It is not an unprimeable number, because it can be changed into a prime (4580903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 695 + ... + 3105.

It is an arithmetic number, because the mean of its divisors is an integer number (290780).

Almost surely, 2^4580900 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 4580900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234040).

4580900 is an abundant number, since it is smaller than the sum of its proper divisors (5887180).

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

4580900 is a wasteful number, since it uses less digits than its factorization.

4580900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 4580900 is about 2140.3037167655. The cubic root of 4580900 is about 166.0798473949.

The spelling of 4580900 in words is "four million, five hundred eighty thousand, nine hundred".