477405 has 18 divisors (see below), whose sum is σ = 835614. Its totient is φ = 252144.

The previous prime is 477383. The next prime is 477409. The reversal of 477405 is 504774.

It can be written as a sum of positive squares in only one way, i.e., 381924 + 95481 = 618^2 + 309^2 .

It is not a de Polignac number, because 477405 - 2⁶ = 477341 is a prime.

477405 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4584 + ... + 4686.

It is an arithmetic number, because the mean of its divisors is an integer number (46423).

2⁴⁷⁷⁴⁰⁵ is an apocalyptic number.

477405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

477405 is a deficient number, since it is larger than the sum of its proper divisors (358209).

477405 is a wasteful number, since it uses less digits than its factorization.

477405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 477405 is about 690.9450050474. The cubic root of 477405 is about 78.1559994314.

Multiplying 477405 by its product of nonzero digits (3920), we get a square (1871427600 = 43260²).

The spelling of 477405 in words is "four hundred seventy-seven thousand, four hundred five".