47621200 has 120 divisors (see below), whose sum is σ = 127313280. Its totient is φ = 16972800.

The previous prime is 47621179. The next prime is 47621207. The reversal of 47621200 is 212674.

47621200 = 178² + 179² + ... + 529².

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47621207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347532 + ... + 347668.

It is an arithmetic number, because the mean of its divisors is an integer number (1060944).

Almost surely, 2^47621200 is an apocalyptic number.

47621200 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 47621200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63656640).

47621200 is an abundant number, since it is smaller than the sum of its proper divisors (79692080).

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

47621200 is a wasteful number, since it uses less digits than its factorization.

47621200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 47621200 is about 6900.8115464777. The cubic root of 47621200 is about 362.4655853179.

Adding to 47621200 its reverse (212674), we get a palindrome (47833874).

The spelling of 47621200 in words is "forty-seven million, six hundred twenty-one thousand, two hundred".