47451600 has 270 divisors, whose sum is σ = 192267270. Its totient is φ = 10805760.

The previous prime is 47451581. The next prime is 47451601. The reversal of 47451600 is 615474.

47451600 is a `hidden beast` number, since 4 + 7 + 4 + 51 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7056 + 47444544 = 84^2 + 6888^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47451601) 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 53 ways as a sum of consecutive naturals, for example, 176266 + ... + 176534.

It is an arithmetic number, because the mean of its divisors is an integer number (712101).

Almost surely, 2^47451600 is an apocalyptic number.

47451600 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 47451600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96133635).

47451600 is an abundant number, since it is smaller than the sum of its proper divisors (144815670).

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

47451600 is a wasteful number, since it uses less digits than its factorization.

47451600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 47451600 is about 6888.5121760798. The cubic root of 47451600 is about 362.0347737827.

The spelling of 47451600 in words is "forty-seven million, four hundred fifty-one thousand, six hundred".