47281600 has 84 divisors (see below), whose sum is σ = 120472200. Its totient is φ = 18242560.

The previous prime is 47281567. The next prime is 47281613. The reversal of 47281600 is 618274.

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, 45891 + ... + 46909.

Almost surely, 2^47281600 is an apocalyptic number.

47281600 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 47281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60236100).

47281600 is an abundant number, since it is smaller than the sum of its proper divisors (73190600).

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

47281600 is a wasteful number, since it uses less digits than its factorization.

47281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 47281600 is about 6876.1617200296. The cubic root of 47281600 is about 361.6019147835.

Adding to 47281600 its reverse (618274), we get a palindrome (47899874).

It can be divided in two parts, 4728 and 1600, that added together give a triangular number (6328 = T₁₁₂).

The spelling of 47281600 in words is "forty-seven million, two hundred eighty-one thousand, six hundred".