48600576 has 120 divisors (see below), whose sum is σ = 143629200. Its totient is φ = 15814656.

The previous prime is 48600557. The next prime is 48600581. The reversal of 48600576 is 67500684.

It is a happy number.

48600576 is a `hidden beast` number, since 4 + 86 + 0 + 0 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 48600576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244125 + ... + 244323.

It is an arithmetic number, because the mean of its divisors is an integer number (1196910).

Almost surely, 2^48600576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48600576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71814600).

48600576 is an abundant number, since it is smaller than the sum of its proper divisors (95028624).

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

48600576 is a wasteful number, since it uses less digits than its factorization.

48600576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 48600576 is about 6971.4113348733. The cubic root of 48600576 is about 364.9335614358.

The spelling of 48600576 in words is "forty-eight million, six hundred thousand, five hundred seventy-six".