46875283200 has 864 divisors, whose sum is σ = 185180022720. Its totient is φ = 11705057280.

The previous prime is 46875283199. The next prime is 46875283229. The reversal of 46875283200 is 238257864.

46875283200 is a `hidden beast` number, since 46 + 87 + 528 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237945502 + ... + 237945698.

It is an arithmetic number, because the mean of its divisors is an integer number (214328730).

Almost surely, 2^46875283200 is an apocalyptic number.

46875283200 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 46875283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92590011360).

46875283200 is an abundant number, since it is smaller than the sum of its proper divisors (138304739520).

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

46875283200 is an equidigital number, since it uses as much as digits as its factorization.

46875283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 46875283200 in words is "forty-six billion, eight hundred seventy-five million, two hundred eighty-three thousand, two hundred".