48635520 has 128 divisors (see below), whose sum is σ = 157602240. Its totient is φ = 12754944.

The previous prime is 48635519. The next prime is 48635527. The reversal of 48635520 is 2553684.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (48635527) 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, 139987 + ... + 140333.

Almost surely, 2^48635520 is an apocalyptic number.

48635520 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 48635520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78801120).

48635520 is an abundant number, since it is smaller than the sum of its proper divisors (108966720).

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

48635520 is a wasteful number, since it uses less digits than its factorization.

48635520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 48635520 is about 6973.9171202417. The cubic root of 48635520 is about 365.0210033576.

The spelling of 48635520 in words is "forty-eight million, six hundred thirty-five thousand, five hundred twenty".