48478752 has 144 divisors (see below), whose sum is σ = 159606720. Its totient is φ = 13671936.

The previous prime is 48478741. The next prime is 48478763. The reversal of 48478752 is 25787484.

It is an interprime number because it is at equal distance from previous prime (48478741) and next prime (48478763).

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 48478698 and 48478707.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280138 + ... + 280310.

It is an arithmetic number, because the mean of its divisors is an integer number (1108380).

Almost surely, 2^48478752 is an apocalyptic number.

48478752 is a gapful number since it is divisible by the number (42) 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 48478752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79803360).

48478752 is an abundant number, since it is smaller than the sum of its proper divisors (111127968).

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

48478752 is a wasteful number, since it uses less digits than its factorization.

48478752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 324 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 48478752 is about 6962.6684539765. The cubic root of 48478752 is about 364.6283876562.

The spelling of 48478752 in words is "forty-eight million, four hundred seventy-eight thousand, seven hundred fifty-two".