47361600 has 504 divisors, whose sum is σ = 206361792. Its totient is φ = 10137600.

The previous prime is 47361593. The next prime is 47361607. The reversal of 47361600 is 616374.

47361600 is a `hidden beast` number, since 47 + 3 + 616 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47361593) and next prime (47361607).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47361607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2059189 + ... + 2059211.

It is an arithmetic number, because the mean of its divisors is an integer number (409448).

Almost surely, 2^47361600 is an apocalyptic number.

47361600 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 47361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103180896).

47361600 is an abundant number, since it is smaller than the sum of its proper divisors (159000192).

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

47361600 is a wasteful number, since it uses less digits than its factorization.

47361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 47361600 is about 6881.9764602910. The cubic root of 47361600 is about 361.8057421576.

Adding to 47361600 its reverse (616374), we get a palindrome (47977974).

It can be divided in two parts, 47361 and 600, that added together give a square (47961 = 219²).

The spelling of 47361600 in words is "forty-seven million, three hundred sixty-one thousand, six hundred".