48972560 has 180 divisors, whose sum is σ = 147389004. Its totient is φ = 14999040.

The previous prime is 48972559. The next prime is 48972593. The reversal of 48972560 is 6527984.

It can be written as a sum of positive squares in 2 ways, for example, as 12054784 + 36917776 = 3472^2 + 6076^2 .

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1579745 + ... + 1579775.

Almost surely, 2^48972560 is an apocalyptic number.

48972560 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 48972560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73694502).

48972560 is an abundant number, since it is smaller than the sum of its proper divisors (98416444).

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

48972560 is a wasteful number, since it uses less digits than its factorization.

48972560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 58 counting only the distinct ones).

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

The square root of 48972560 is about 6998.0397255231. The cubic root of 48972560 is about 365.8622512078.

The spelling of 48972560 in words is "forty-eight million, nine hundred seventy-two thousand, five hundred sixty".