405477 has 6 divisors (see below), whose sum is σ = 585702. Its totient is φ = 270312.

The previous prime is 405473. The next prime is 405487. The reversal of 405477 is 774504.

It can be written as a sum of positive squares in only one way, i.e., 370881 + 34596 = 609^2 + 186^2 .

It is not a de Polignac number, because 405477 - 2² = 405473 is a prime.

405477 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 405477.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405473) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22518 + ... + 22535.

It is an arithmetic number, because the mean of its divisors is an integer number (97617).

2⁴⁰⁵⁴⁷⁷ is an apocalyptic number.

It is an amenable number.

405477 is a deficient number, since it is larger than the sum of its proper divisors (180225).

405477 is a wasteful number, since it uses less digits than its factorization.

405477 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45059 (or 45056 counting only the distinct ones).

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

The square root of 405477 is about 636.7707593789. The cubic root of 405477 is about 74.0153973317.

Adding to 405477 its sum of digits (27), we get a palindrome (405504).

Subtracting from 405477 its sum of digits (27), we obtain a triangular number (405450 = T₉₀₀).

The spelling of 405477 in words is "four hundred five thousand, four hundred seventy-seven".