478632 has 96 divisors (see below), whose sum is σ = 1559520. Its totient is φ = 120960.

The previous prime is 478631. The next prime is 478637. The reversal of 478632 is 236874.

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

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 478632.

It is not an unprimeable number, because it can be changed into a prime (478631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12918 + ... + 12954.

It is an arithmetic number, because the mean of its divisors is an integer number (16245).

2⁴⁷⁸⁶³² is an apocalyptic number.

478632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779760).

478632 is an abundant number, since it is smaller than the sum of its proper divisors (1080888).

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

478632 is a wasteful number, since it uses less digits than its factorization.

478632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 60 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 478632 is about 691.8323496339. The cubic root of 478632 is about 78.2228995627. Note that the first 3 decimals are identical.

The spelling of 478632 in words is "four hundred seventy-eight thousand, six hundred thirty-two".