47971200 has 192 divisors, whose sum is σ = 166953600. Its totient is φ = 12072960.

The previous prime is 47971177. The next prime is 47971207. The reversal of 47971200 is 217974.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47971207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182269 + ... + 182531.

It is an arithmetic number, because the mean of its divisors is an integer number (869550).

Almost surely, 2^47971200 is an apocalyptic number.

47971200 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 47971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83476800).

47971200 is an abundant number, since it is smaller than the sum of its proper divisors (118982400).

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

47971200 is a wasteful number, since it uses less digits than its factorization.

47971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 47971200 is about 6926.1244574437. The cubic root of 47971200 is about 363.3514192009.

The spelling of 47971200 in words is "forty-seven million, nine hundred seventy-one thousand, two hundred".