46972800 has 288 divisors, whose sum is σ = 192376080. Its totient is φ = 10690560.

The previous prime is 46972763. The next prime is 46972811. The reversal of 46972800 is 827964.

46972800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201484 + ... + 201716.

Almost surely, 2^46972800 is an apocalyptic number.

46972800 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 46972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96188040).

46972800 is an abundant number, since it is smaller than the sum of its proper divisors (145403280).

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

46972800 is a wasteful number, since it uses less digits than its factorization.

46972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 46972800 is about 6853.6705494209. The cubic root of 46972800 is about 360.8129775094.

The spelling of 46972800 in words is "forty-six million, nine hundred seventy-two thousand, eight hundred".