48036480 has 128 divisors (see below), whose sum is σ = 155105280. Its totient is φ = 12644352.

The previous prime is 48036449. The next prime is 48036493. The reversal of 48036480 is 8463084.

48036480 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 (128).

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 15 ways as a sum of consecutive naturals, for example, 243742 + ... + 243938.

It is an arithmetic number, because the mean of its divisors is an integer number (1211760).

Almost surely, 2^48036480 is an apocalyptic number.

48036480 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 48036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77552640).

48036480 is an abundant number, since it is smaller than the sum of its proper divisors (107068800).

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

48036480 is a wasteful number, since it uses less digits than its factorization.

48036480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 48036480 is about 6930.8354474767. The cubic root of 48036480 is about 363.5161626959.

It can be divided in two parts, 48036 and 480, that added together give a triangular number (48516 = T₃₁₁).

The spelling of 48036480 in words is "forty-eight million, thirty-six thousand, four hundred eighty".