477045 has 12 divisors (see below), whose sum is σ = 826956. Its totient is φ = 254400.

The previous prime is 477031. The next prime is 477047. The reversal of 477045 is 540774.

It can be written as a sum of positive squares in 2 ways, for example, as 298116 + 178929 = 546^2 + 423^2 .

It is not a de Polignac number, because 477045 - 2⁵ = 477013 is a prime.

477045 is a lucky number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5256 + ... + 5345.

It is an arithmetic number, because the mean of its divisors is an integer number (68913).

2⁴⁷⁷⁰⁴⁵ is an apocalyptic number.

477045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

477045 is a deficient number, since it is larger than the sum of its proper divisors (349911).

477045 is a wasteful number, since it uses less digits than its factorization.

477045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10612 (or 10609 counting only the distinct ones).

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

The square root of 477045 is about 690.6844431432. The cubic root of 477045 is about 78.1363492845.

The spelling of 477045 in words is "four hundred seventy-seven thousand, forty-five".