478744 has 32 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 200736.

The previous prime is 478741. The next prime is 478747. The reversal of 478744 is 447874.

It is an interprime number because it is at equal distance from previous prime (478741) and next prime (478747).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4597 + ... + 4699.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2⁴⁷⁸⁷⁴⁴ 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 478744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524160).

478744 is an abundant number, since it is smaller than the sum of its proper divisors (569576).

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

478744 is a wasteful number, since it uses less digits than its factorization.

478744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 195 counting only the distinct ones).

The product of its digits is 25088, while the sum is 34.

The square root of 478744 is about 691.9132893651. The cubic root of 478744 is about 78.2290004792.

The spelling of 478744 in words is "four hundred seventy-eight thousand, seven hundred forty-four".