48284472600 has 720 divisors, whose sum is σ = 210129519600. Its totient is φ = 10185315840.

The previous prime is 48284472553. The next prime is 48284472671. The reversal of 48284472600 is 627448284.

48284472600 is a `hidden beast` number, since 48 + 2 + 84 + 472 + 60 + 0 = 666.

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 179 ways as a sum of consecutive naturals, for example, 10317061 + ... + 10321739.

It is an arithmetic number, because the mean of its divisors is an integer number (291846555).

Almost surely, 2^48284472600 is an apocalyptic number.

48284472600 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 48284472600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105064759800).

48284472600 is an abundant number, since it is smaller than the sum of its proper divisors (161845047000).

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

48284472600 is a wasteful number, since it uses less digits than its factorization.

48284472600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4734 (or 4709 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 48284472600 in words is "forty-eight billion, two hundred eighty-four million, four hundred seventy-two thousand, six hundred".