48980880 has 120 divisors (see below), whose sum is σ = 177181368. Its totient is φ = 12054528.

The previous prime is 48980863. The next prime is 48980881. The reversal of 48980880 is 8808984.

48980880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8225424 + 40755456 = 2868^2 + 6384^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (48980881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6744 + ... + 11976.

Almost surely, 2^48980880 is an apocalyptic number.

48980880 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 48980880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88590684).

48980880 is an abundant number, since it is smaller than the sum of its proper divisors (128200488).

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

48980880 is a wasteful number, since it uses less digits than its factorization.

48980880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265 (or 5256 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 48980880 is about 6998.6341524615. The cubic root of 48980880 is about 365.8829689428.

The spelling of 48980880 in words is "forty-eight million, nine hundred eighty thousand, eight hundred eighty".