477945 has 48 divisors (see below), whose sum is σ = 960960. Its totient is φ = 217728.

The previous prime is 477941. The next prime is 477947. The reversal of 477945 is 549774.

It is a happy number.

It is not a de Polignac number, because 477945 - 2² = 477941 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11094 + ... + 11136.

It is an arithmetic number, because the mean of its divisors is an integer number (20020).

2⁴⁷⁷⁹⁴⁵ is an apocalyptic number.

477945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

477945 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

477945 is a wasteful number, since it uses less digits than its factorization.

477945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 83 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 477945 is about 691.3356637698. The cubic root of 477945 is about 78.1854561380.

The spelling of 477945 in words is "four hundred seventy-seven thousand, nine hundred forty-five".