472729600 has 144 divisors (see below), whose sum is σ = 1340539200. Its totient is φ = 161955840.

The previous prime is 472729577. The next prime is 472729637. The reversal of 472729600 is 6927274.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 472729600.

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, 357741 + ... + 359059.

It is an arithmetic number, because the mean of its divisors is an integer number (9309300).

Almost surely, 2^472729600 is an apocalyptic number.

472729600 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 472729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670269600).

472729600 is an abundant number, since it is smaller than the sum of its proper divisors (867809600).

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

472729600 is a wasteful number, since it uses less digits than its factorization.

472729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 472729600 is about 21742.3457796071. The cubic root of 472729600 is about 779.0002532239. Note that the first 3 decimals are identical.

The spelling of 472729600 in words is "four hundred seventy-two million, seven hundred twenty-nine thousand, six hundred".