477660 has 48 divisors (see below), whose sum is σ = 1411200. Its totient is φ = 120384.

The previous prime is 477637. The next prime is 477671. The reversal of 477660 is 66774.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

477660 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 931 + ... + 1349.

It is an arithmetic number, because the mean of its divisors is an integer number (29400).

2⁴⁷⁷⁶⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705600).

477660 is an abundant number, since it is smaller than the sum of its proper divisors (933540).

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

477660 is a wasteful number, since it uses less digits than its factorization.

477660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 477660 is about 691.1295102946. The cubic root of 477660 is about 78.1699123093.

The spelling of 477660 in words is "four hundred seventy-seven thousand, six hundred sixty".