48830080 has 64 divisors (see below), whose sum is σ = 125735400. Its totient is φ = 18026496.

The previous prime is 48830071. The next prime is 48830083. The reversal of 48830080 is 8003884.

It can be written as a sum of positive squares in 4 ways, for example, as 19149376 + 29680704 = 4376^2 + 5448^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (48830083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5386 + ... + 11254.

Almost surely, 2^48830080 is an apocalyptic number.

48830080 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 48830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62867700).

48830080 is an abundant number, since it is smaller than the sum of its proper divisors (76905320).

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

48830080 is a wasteful number, since it uses less digits than its factorization.

48830080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5901 (or 5889 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 48830080 is about 6987.8523166993. The cubic root of 48830080 is about 365.5070952528.

The spelling of 48830080 in words is "forty-eight million, eight hundred thirty thousand, eighty".