477632 has 28 divisors (see below), whose sum is σ = 1005840. Its totient is φ = 224256.

The previous prime is 477623. The next prime is 477637. The reversal of 477632 is 236774.

It is a junction number, because it is equal to n+sod(n) for n = 477595 and 477604.

It is a congruent number.

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

477632 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 3 ways as a sum of consecutive naturals, for example, 869 + ... + 1307.

2⁴⁷⁷⁶³² 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 477632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502920).

477632 is an abundant number, since it is smaller than the sum of its proper divisors (528208).

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

477632 is a wasteful number, since it uses less digits than its factorization.

477632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 458 counting only the distinct ones).

The product of its digits is 7056, while the sum is 29.

The square root of 477632 is about 691.1092533023. The cubic root of 477632 is about 78.1683848628.

The spelling of 477632 in words is "four hundred seventy-seven thousand, six hundred thirty-two".