48577680 has 240 divisors, whose sum is σ = 177577920. Its totient is φ = 11860992.

The previous prime is 48577673. The next prime is 48577681. The reversal of 48577680 is 8677584.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (48577681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 725007 + ... + 725073.

It is an arithmetic number, because the mean of its divisors is an integer number (739908).

Almost surely, 2^48577680 is an apocalyptic number.

48577680 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 48577680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88788960).

48577680 is an abundant number, since it is smaller than the sum of its proper divisors (129000240).

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

48577680 is a wasteful number, since it uses less digits than its factorization.

48577680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 48577680 is about 6969.7690062153. The cubic root of 48577680 is about 364.8762450282.

The spelling of 48577680 in words is "forty-eight million, five hundred seventy-seven thousand, six hundred eighty".