48578580 has 72 divisors (see below), whose sum is σ = 149413992. Its totient is φ = 12773376.

The previous prime is 48578557. The next prime is 48578591. The reversal of 48578580 is 8587584.

It can be written as a sum of positive squares in 4 ways, for example, as 636804 + 47941776 = 798^2 + 6924^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11292 + ... + 14988.

Almost surely, 2^48578580 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 48578580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74706996).

48578580 is an abundant number, since it is smaller than the sum of its proper divisors (100835412).

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

48578580 is a wasteful number, since it uses less digits than its factorization.

48578580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 48578580 is about 6969.8335704664. The cubic root of 48578580 is about 364.8784983717.

The spelling of 48578580 in words is "forty-eight million, five hundred seventy-eight thousand, five hundred eighty".