48946560 has 256 divisors, whose sum is σ = 175815360. Its totient is φ = 11501568.

The previous prime is 48946549. The next prime is 48946567. The reversal of 48946560 is 6564984.

48946560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48946567) 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, 923494 + ... + 923546.

Almost surely, 2^48946560 is an apocalyptic number.

48946560 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 48946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87907680).

48946560 is an abundant number, since it is smaller than the sum of its proper divisors (126868800).

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

48946560 is a wasteful number, since it uses less digits than its factorization.

48946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 48946560 is about 6996.1818158193. The cubic root of 48946560 is about 365.7974931580.

The spelling of 48946560 in words is "forty-eight million, nine hundred forty-six thousand, five hundred sixty".