48477744 has 320 divisors, whose sum is σ = 179988480. Its totient is φ = 12165120.

The previous prime is 48477743. The next prime is 48477757. The reversal of 48477744 is 44777484.

48477744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 48477744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48477743) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1182364 + ... + 1182404.

It is an arithmetic number, because the mean of its divisors is an integer number (562464).

Almost surely, 2^48477744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48477744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

48477744 is an abundant number, since it is smaller than the sum of its proper divisors (131510736).

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

48477744 is a wasteful number, since it uses less digits than its factorization.

48477744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 93 counting only the distinct ones).

The product of its digits is 702464, while the sum is 45.

The square root of 48477744 is about 6962.5960675599. The cubic root of 48477744 is about 364.6258604462.

It can be divided in two parts, 4 and 8477744, that added together give a palindrome (8477748).

The spelling of 48477744 in words is "forty-eight million, four hundred seventy-seven thousand, seven hundred forty-four".