472065777 has 24 divisors (see below), whose sum is σ = 712490688. Its totient is φ = 300616800.

The previous prime is 472065751. The next prime is 472065779. The reversal of 472065777 is 777560274.

472065777 is a `hidden beast` number, since 4 + 72 + 0 + 6 + 577 + 7 = 666.

It is not a de Polignac number, because 472065777 - 2¹⁰ = 472064753 is a prime.

It is a super-2 number, since 2×472065777² = 445692195629227458, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (472065779) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243502 + ... + 245432.

It is an arithmetic number, because the mean of its divisors is an integer number (29687112).

Almost surely, 2^472065777 is an apocalyptic number.

It is an amenable number.

472065777 is a deficient number, since it is larger than the sum of its proper divisors (240424911).

472065777 is a wasteful number, since it uses less digits than its factorization.

472065777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3141 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 45.

The square root of 472065777 is about 21727.0747455795. The cubic root of 472065777 is about 778.6354495208.

The spelling of 472065777 in words is "four hundred seventy-two million, sixty-five thousand, seven hundred seventy-seven".