476385 has 32 divisors (see below), whose sum is σ = 940800. Its totient is φ = 200448.

The previous prime is 476381. The next prime is 476401. The reversal of 476385 is 583674.

It is not a de Polignac number, because 476385 - 2² = 476381 is a prime.

It is a d-powerful number, because it can be written as 4⁷ + 7⁴ + 3¹¹ + 6⁷ + 8³ + 5 .

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

476385 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (476381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1191 + ... + 1539.

It is an arithmetic number, because the mean of its divisors is an integer number (29400).

2⁴⁷⁶³⁸⁵ is an apocalyptic number.

It is an amenable number.

476385 is a deficient number, since it is larger than the sum of its proper divisors (464415).

476385 is a wasteful number, since it uses less digits than its factorization.

476385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377.

The product of its digits is 20160, while the sum is 33.

The square root of 476385 is about 690.2064908417. The cubic root of 476385 is about 78.1002983239.

It can be divided in two parts, 476 and 385, that added together give a triangular number (861 = T₄₁).

The spelling of 476385 in words is "four hundred seventy-six thousand, three hundred eighty-five".