48138480 has 240 divisors, whose sum is σ = 180092640. Its totient is φ = 11446272.

The previous prime is 48138479. The next prime is 48138529. The reversal of 48138480 is 8483184.

48138480 is a `hidden beast` number, since 48 + 138 + 480 = 666.

48138480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 346251 + ... + 346389.

It is an arithmetic number, because the mean of its divisors is an integer number (750386).

Almost surely, 2^48138480 is an apocalyptic number.

48138480 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 48138480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90046320).

48138480 is an abundant number, since it is smaller than the sum of its proper divisors (131954160).

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

48138480 is a wasteful number, since it uses less digits than its factorization.

48138480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 48138480 is about 6938.1899656899. The cubic root of 48138480 is about 363.7732758691.

The spelling of 48138480 in words is "forty-eight million, one hundred thirty-eight thousand, four hundred eighty".