48476448 has 96 divisors (see below), whose sum is σ = 148881600. Its totient is φ = 15303168.

The previous prime is 48476447. The next prime is 48476509. The reversal of 48476448 is 84467484.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (48476447) 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 15 ways as a sum of consecutive naturals, for example, 14940 + ... + 17892.

It is an arithmetic number, because the mean of its divisors is an integer number (1550850).

Almost surely, 2^48476448 is an apocalyptic number.

48476448 is a gapful number since it is divisible by the number (48) 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 48476448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74440800).

48476448 is an abundant number, since it is smaller than the sum of its proper divisors (100405152).

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

48476448 is a wasteful number, since it uses less digits than its factorization.

48476448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2977 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 48476448 is about 6962.5029982040. The cubic root of 48476448 is about 364.6226111247.

The spelling of 48476448 in words is "forty-eight million, four hundred seventy-six thousand, four hundred forty-eight".