477630 has 64 divisors (see below), whose sum is σ = 1339200. Its totient is φ = 120960.

The previous prime is 477623. The next prime is 477637. The reversal of 477630 is 36774.

It is an interprime number because it is at equal distance from previous prime (477623) and next prime (477637).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 477594 and 477603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477637) by changing a digit.

477630 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 31 ways as a sum of consecutive naturals, for example, 7800 + ... + 7860.

It is an arithmetic number, because the mean of its divisors is an integer number (20925).

2⁴⁷⁷⁶³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669600).

477630 is an abundant number, since it is smaller than the sum of its proper divisors (861570).

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

477630 is a wasteful number, since it uses less digits than its factorization.

477630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 477630 is about 691.1078063515. The cubic root of 477630 is about 78.1682757572.

The spelling of 477630 in words is "four hundred seventy-seven thousand, six hundred thirty".