48477840 has 80 divisors (see below), whose sum is σ = 152395008. Its totient is φ = 12745728.

The previous prime is 48477833. The next prime is 48477841. The reversal of 48477840 is 4877484.

48477840 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 (80).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 48477792 and 48477801.

It is not an unprimeable number, because it can be changed into a prime (48477841) 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 15 ways as a sum of consecutive naturals, for example, 16137 + ... + 18903.

Almost surely, 2^48477840 is an apocalyptic number.

48477840 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 48477840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76197504).

48477840 is an abundant number, since it is smaller than the sum of its proper divisors (103917168).

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

48477840 is a wasteful number, since it uses less digits than its factorization.

48477840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The square root of 48477840 is about 6962.6029615367. The cubic root of 48477840 is about 364.6261011344.

The spelling of 48477840 in words is "forty-eight million, four hundred seventy-seven thousand, eight hundred forty".