48956720 has 80 divisors (see below), whose sum is σ = 117929952. Its totient is φ = 18892800.

The previous prime is 48956717. The next prime is 48956723. The reversal of 48956720 is 2765984.

It is an interprime number because it is at equal distance from previous prime (48956717) and next prime (48956723).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (48956723) 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, 484670 + ... + 484770.

Almost surely, 2^48956720 is an apocalyptic number.

48956720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48956720 is the 4040-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48956720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58964976).

48956720 is an abundant number, since it is smaller than the sum of its proper divisors (68973232).

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

48956720 is a wasteful number, since it uses less digits than its factorization.

48956720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 48956720 is about 6996.9078884890. The cubic root of 48956720 is about 365.8228013404.

The spelling of 48956720 in words is "forty-eight million, nine hundred fifty-six thousand, seven hundred twenty".