472201200 has 180 divisors, whose sum is σ = 1695549960. Its totient is φ = 121551360.

The previous prime is 472201153. The next prime is 472201211. The reversal of 472201200 is 2102274.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102139 + ... + 106661.

It is an arithmetic number, because the mean of its divisors is an integer number (9419722).

Almost surely, 2^472201200 is an apocalyptic number.

472201200 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 472201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847774980).

472201200 is an abundant number, since it is smaller than the sum of its proper divisors (1223348760).

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

472201200 is a wasteful number, since it uses less digits than its factorization.

472201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576 (or 4562 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 472201200 is about 21730.1909793725. The cubic root of 472201200 is about 778.7098989388.

Adding to 472201200 its reverse (2102274), we get a palindrome (474303474).

The spelling of 472201200 in words is "four hundred seventy-two million, two hundred one thousand, two hundred".