472007200 has 108 divisors (see below), whose sum is σ = 1340527482. Its totient is φ = 161817600.

The previous prime is 472007183. The next prime is 472007201. The reversal of 472007200 is 2700274.

It can be written as a sum of positive squares in 3 ways, for example, as 376515216 + 95491984 = 19404^2 + 9772^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (472007201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33180 + ... + 45220.

Almost surely, 2^472007200 is an apocalyptic number.

472007200 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 472007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670263741).

472007200 is an abundant number, since it is smaller than the sum of its proper divisors (868520282).

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

472007200 is a wasteful number, since it uses less digits than its factorization.

472007200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12075 (or 12055 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 472007200 is about 21725.7266851997. The cubic root of 472007200 is about 778.6032421339.

Adding to 472007200 its reverse (2700274), we get a palindrome (474707474).

The spelling of 472007200 in words is "four hundred seventy-two million, seven thousand, two hundred".