47831200 has 72 divisors (see below), whose sum is σ = 123671772. Its totient is φ = 18001920.

The previous prime is 47831197. The next prime is 47831219. The reversal of 47831200 is 213874.

It can be written as a sum of positive squares in 6 ways, for example, as 37307664 + 10523536 = 6108^2 + 3244^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11842 + ... + 15358.

Almost surely, 2^47831200 is an apocalyptic number.

47831200 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 47831200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61835886).

47831200 is an abundant number, since it is smaller than the sum of its proper divisors (75840572).

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

47831200 is a wasteful number, since it uses less digits than its factorization.

47831200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 47831200 is about 6916.0104106342. The cubic root of 47831200 is about 362.9976043777.

The spelling of 47831200 in words is "forty-seven million, eight hundred thirty-one thousand, two hundred".