48520480 has 48 divisors (see below), whose sum is σ = 118593720. Its totient is φ = 18737152.

The previous prime is 48520463. The next prime is 48520481. The reversal of 48520480 is 8402584.

It can be written as a sum of positive squares in 4 ways, for example, as 46294416 + 2226064 = 6804^2 + 1492^2 .

It is not an unprimeable number, because it can be changed into a prime (48520481) 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 7 ways as a sum of consecutive naturals, for example, 589 + ... + 9868.

Almost surely, 2^48520480 is an apocalyptic number.

48520480 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 48520480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59296860).

48520480 is an abundant number, since it is smaller than the sum of its proper divisors (70073240).

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

48520480 is a wasteful number, since it uses less digits than its factorization.

48520480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10501 (or 10493 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 48520480 is about 6965.6643617102. The cubic root of 48520480 is about 364.7329754005.

The spelling of 48520480 in words is "forty-eight million, five hundred twenty thousand, four hundred eighty".