477640 has 16 divisors (see below), whose sum is σ = 1074780. Its totient is φ = 191040.

The previous prime is 477637. The next prime is 477671. The reversal of 477640 is 46774.

477640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 459684 + 17956 = 678^2 + 134^2 .

It is a junction number, because it is equal to n+sod(n) for n = 477599 and 477608.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5931 + ... + 6010.

2⁴⁷⁷⁶⁴⁰ is an apocalyptic number.

477640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

477640 is an abundant number, since it is smaller than the sum of its proper divisors (597140).

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

477640 is a wasteful number, since it uses less digits than its factorization.

477640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11952 (or 11948 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 477640 is about 691.1150410749. The cubic root of 477640 is about 78.1688212822.

The spelling of 477640 in words is "four hundred seventy-seven thousand, six hundred forty".