477940 has 24 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 182688.

The previous prime is 477913. The next prime is 477941. The reversal of 477940 is 49774.

477940 = 133² + 134² + ... + 155².

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60 + ... + 979.

It is an arithmetic number, because the mean of its divisors is an integer number (43680).

2⁴⁷⁷⁹⁴⁰ is an apocalyptic number.

It is an amenable number.

477940 is an abundant number, since it is smaller than the sum of its proper divisors (570380).

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

477940 is a wasteful number, since it uses less digits than its factorization.

477940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 477940 is about 691.3320475719. The cubic root of 477940 is about 78.1851834925.

The spelling of 477940 in words is "four hundred seventy-seven thousand, nine hundred forty".