48949120 has 128 divisors (see below), whose sum is σ = 135496800. Its totient is φ = 16711680.

The previous prime is 48949099. The next prime is 48949127. The reversal of 48949120 is 2194984.

It is a happy number.

48949120 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 (128).

It is a self number, because there is not a number n which added to its sum of digits gives 48949120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48949127) 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, 119476 + ... + 119884.

Almost surely, 2^48949120 is an apocalyptic number.

48949120 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 48949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67748400).

48949120 is an abundant number, since it is smaller than the sum of its proper divisors (86547680).

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

48949120 is a wasteful number, since it uses less digits than its factorization.

48949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 48949120 is about 6996.3647703647. The cubic root of 48949120 is about 365.8038703528.

The spelling of 48949120 in words is "forty-eight million, nine hundred forty-nine thousand, one hundred twenty".