48476880 has 100 divisors (see below), whose sum is σ = 168389892. Its totient is φ = 12925440.

The previous prime is 48476873. The next prime is 48476899. The reversal of 48476880 is 8867484.

48476880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 30735936 + 17740944 = 5544^2 + 4212^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 19 ways as a sum of consecutive naturals, for example, 2740 + ... + 10220.

Almost surely, 2^48476880 is an apocalyptic number.

48476880 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 48476880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84194946).

48476880 is an abundant number, since it is smaller than the sum of its proper divisors (119913012).

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

48476880 is a wasteful number, since it uses less digits than its factorization.

48476880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7506 (or 7491 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 48476880 is about 6962.5340214609. The cubic root of 48476880 is about 364.6236942383.

The spelling of 48476880 in words is "forty-eight million, four hundred seventy-six thousand, eight hundred eighty".