477666 has 48 divisors (see below), whose sum is σ = 1257984. Its totient is φ = 127872.

The previous prime is 477637. The next prime is 477671. The reversal of 477666 is 666774.

Its product of digits (42336) is a multiple of the sum of its prime divisors (252).

It is a Curzon number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 477666.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 477666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2031 + ... + 2253.

It is an arithmetic number, because the mean of its divisors is an integer number (26208).

2⁴⁷⁷⁶⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628992).

477666 is an abundant number, since it is smaller than the sum of its proper divisors (780318).

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

477666 is a wasteful number, since it uses less digits than its factorization.

477666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 252 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 477666 is about 691.1338510014. The cubic root of 477666 is about 78.1702396115.

The spelling of 477666 in words is "four hundred seventy-seven thousand, six hundred sixty-six".