472903782400 has 351 divisors, whose sum is σ = 1368570455829. Its totient is φ = 161610301440.

The previous prime is 472903782389. The next prime is 472903782409. The reversal of 472903782400 is 4287309274.

The square root of 472903782400 is 687680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 170245361664 + 302658420736 = 412608^2 + 550144^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (472903782409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1540403047 + ... + 1540403353.

Almost surely, 2^472903782400 is an apocalyptic number.

472903782400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

472903782400 is the 687680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472903782400

472903782400 is an abundant number, since it is smaller than the sum of its proper divisors (895666673429).

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

472903782400 is an frugal number, since it uses more digits than its factorization.

472903782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 472903782400 in words is "four hundred seventy-two billion, nine hundred three million, seven hundred eighty-two thousand, four hundred".