47347200 has 240 divisors, whose sum is σ = 175055760. Its totient is φ = 12533760.

The previous prime is 47347187. The next prime is 47347207. The reversal of 47347200 is 274374.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47347207) 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, 345532 + ... + 345668.

It is an arithmetic number, because the mean of its divisors is an integer number (729399).

Almost surely, 2^47347200 is an apocalyptic number.

47347200 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 47347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87527880).

47347200 is an abundant number, since it is smaller than the sum of its proper divisors (127708560).

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

47347200 is a wasteful number, since it uses less digits than its factorization.

47347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 47347200 is about 6880.9301696791. The cubic root of 47347200 is about 361.7690701787.

The spelling of 47347200 in words is "forty-seven million, three hundred forty-seven thousand, two hundred".