48580900 has 81 divisors (see below), whose sum is σ = 114784537. Its totient is φ = 17843200.

The previous prime is 48580879. The next prime is 48580901. The reversal of 48580900 is 908584.

The square root of 48580900 is 6970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 42068196 + 6512704 = 6486^2 + 2552^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48580901) 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 26 ways as a sum of consecutive naturals, for example, 1184880 + ... + 1184920.

Almost surely, 2^48580900 is an apocalyptic number.

48580900 is the 6970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48580900

48580900 is an abundant number, since it is smaller than the sum of its proper divisors (66203637).

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

48580900 is a wasteful number, since it uses less digits than its factorization.

48580900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The cubic root of 48580900 is about 364.8843068620.

The spelling of 48580900 in words is "forty-eight million, five hundred eighty thousand, nine hundred".