472777305 has 192 divisors, whose sum is σ = 1089220608. Its totient is φ = 168791040.

The previous prime is 472777289. The next prime is 472777307. The reversal of 472777305 is 503777274.

It is not a de Polignac number, because 472777305 - 2⁴ = 472777289 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472777307) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12777747 + ... + 12777783.

It is an arithmetic number, because the mean of its divisors is an integer number (5673024).

Almost surely, 2^472777305 is an apocalyptic number.

It is an amenable number.

472777305 is an abundant number, since it is smaller than the sum of its proper divisors (616443303).

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

472777305 is a wasteful number, since it uses less digits than its factorization.

472777305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 288120, while the sum is 42.

The square root of 472777305 is about 21743.4428046710. The cubic root of 472777305 is about 779.0264563338.

It can be divided in two parts, 472 and 777305, that added together give a palindrome (777777).

The spelling of 472777305 in words is "four hundred seventy-two million, seven hundred seventy-seven thousand, three hundred five".