48509760 has 224 divisors, whose sum is σ = 174101760. Its totient is φ = 11421696.

The previous prime is 48509759. The next prime is 48509771. The reversal of 48509760 is 6790584.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2109109 + ... + 2109131.

It is an arithmetic number, because the mean of its divisors is an integer number (777240).

Almost surely, 2^48509760 is an apocalyptic number.

48509760 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 48509760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87050880).

48509760 is an abundant number, since it is smaller than the sum of its proper divisors (125592000).

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

48509760 is a wasteful number, since it uses less digits than its factorization.

48509760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 48509760 is about 6964.8948305053. The cubic root of 48509760 is about 364.7061123420.

The spelling of 48509760 in words is "forty-eight million, five hundred nine thousand, seven hundred sixty".