48281702400 has 390 divisors, whose sum is σ = 178877695502. Its totient is φ = 12872908800.

The previous prime is 48281702353. The next prime is 48281702429. The reversal of 48281702400 is 420718284.

48281702400 is a `hidden beast` number, since 4 + 82 + 8 + 170 + 2 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 9475854336 + 38805848064 = 97344^2 + 196992^2 .

It is a super-2 number, since 2×48281702400² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8291490 + ... + 8297310.

Almost surely, 2^48281702400 is an apocalyptic number.

48281702400 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 48281702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89438847751).

48281702400 is an abundant number, since it is smaller than the sum of its proper divisors (130595993102).

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

48281702400 is an equidigital number, since it uses as much as digits as its factorization.

48281702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5867 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 48281702400 in words is "forty-eight billion, two hundred eighty-one million, seven hundred two thousand, four hundred".