48281600 has 144 divisors (see below), whose sum is σ = 127960560. Its totient is φ = 18022400.

The previous prime is 48281599. The next prime is 48281617. The reversal of 48281600 is 618284.

It is a super-2 number, since 2×48281600² = 4662225797120000, which contains 22 as substring.

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, 1177580 + ... + 1177620.

It is an arithmetic number, because the mean of its divisors is an integer number (888615).

Almost surely, 2^48281600 is an apocalyptic number.

48281600 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 48281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63980280).

48281600 is an abundant number, since it is smaller than the sum of its proper divisors (79678960).

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

48281600 is a wasteful number, since it uses less digits than its factorization.

48281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 48281600 is about 6948.4962401947. The cubic root of 48281600 is about 364.1334293270.

Adding to 48281600 its reverse (618284), we get a palindrome (48899884).

The spelling of 48281600 in words is "forty-eight million, two hundred eighty-one thousand, six hundred".