477906 has 32 divisors (see below), whose sum is σ = 1124928. Its totient is φ = 133440.

The previous prime is 477899. The next prime is 477913. The reversal of 477906 is 609774.

It is an interprime number because it is at equal distance from previous prime (477899) and next prime (477913).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is an unprimeable number.

477906 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 580 + ... + 1136.

It is an arithmetic number, because the mean of its divisors is an integer number (35154).

2⁴⁷⁷⁹⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562464).

477906 is an abundant number, since it is smaller than the sum of its proper divisors (647022).

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

477906 is a wasteful number, since it uses less digits than its factorization.

477906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586.

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 477906 is about 691.3074569249. The cubic root of 477906 is about 78.1833294527.

The spelling of 477906 in words is "four hundred seventy-seven thousand, nine hundred six".