477949773 has 48 divisors (see below), whose sum is σ = 768531456. Its totient is φ = 263259360.

The previous prime is 477949739. The next prime is 477949789. The reversal of 477949773 is 377949774.

It is not a de Polignac number, because 477949773 - 2⁸ = 477949517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477949273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524188 + ... + 525098.

It is an arithmetic number, because the mean of its divisors is an integer number (16011072).

Almost surely, 2^477949773 is an apocalyptic number.

477949773 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

477949773 is a deficient number, since it is larger than the sum of its proper divisors (290581683).

477949773 is a wasteful number, since it uses less digits than its factorization.

477949773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1047 counting only the distinct ones).

The product of its digits is 9335088, while the sum is 57.

The square root of 477949773 is about 21862.0624141457. The cubic root of 477949773 is about 781.8571640358.

Subtracting from 477949773 its reverse (377949774), we obtain a palindrome (99999999).

The spelling of 477949773 in words is "four hundred seventy-seven million, nine hundred forty-nine thousand, seven hundred seventy-three".