48971520 has 288 divisors, whose sum is σ = 188865600. Its totient is φ = 11943936.

The previous prime is 48971519. The next prime is 48971521. The reversal of 48971520 is 2517984.

48971520 is a `hidden beast` number, since 48 + 97 + 1 + 520 = 666.

48971520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48971519) and next prime (48971521).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×48971520³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48971521) 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 31 ways as a sum of consecutive naturals, for example, 449226 + ... + 449334.

Almost surely, 2^48971520 is an apocalyptic number.

48971520 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 48971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94432800).

48971520 is an abundant number, since it is smaller than the sum of its proper divisors (139894080).

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

48971520 is a wasteful number, since it uses less digits than its factorization.

48971520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 48971520 is about 6997.9654186056. The cubic root of 48971520 is about 365.8596613259.

The spelling of 48971520 in words is "forty-eight million, nine hundred seventy-one thousand, five hundred twenty".