477825 has 24 divisors (see below), whose sum is σ = 827328. Its totient is φ = 242880.

The previous prime is 477823. The next prime is 477839. The reversal of 477825 is 528774.

It is not a de Polignac number, because 477825 - 2¹ = 477823 is a prime.

It is a d-powerful number, because it can be written as 4⁸ + 7⁵ + 8² + 7⁶ + 2¹⁸ + 5⁶ .

It is not an unprimeable number, because it can be changed into a prime (477821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1587 + ... + 1863.

It is an arithmetic number, because the mean of its divisors is an integer number (34472).

2⁴⁷⁷⁸²⁵ is an apocalyptic number.

It is an amenable number.

477825 is a deficient number, since it is larger than the sum of its proper divisors (349503).

477825 is a wasteful number, since it uses less digits than its factorization.

477825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 308 counting only the distinct ones).

The product of its digits is 15680, while the sum is 33.

The square root of 477825 is about 691.2488698002. The cubic root of 477825 is about 78.1789121214.

The spelling of 477825 in words is "four hundred seventy-seven thousand, eight hundred twenty-five".