478002 has 32 divisors (see below), whose sum is σ = 1152000. Its totient is φ = 129168.

The previous prime is 478001. The next prime is 478039. The reversal of 478002 is 200874.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 478002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499 + ... + 1097.

It is an arithmetic number, because the mean of its divisors is an integer number (36000).

2⁴⁷⁸⁰⁰² is an apocalyptic number.

478002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 478002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576000).

478002 is an abundant number, since it is smaller than the sum of its proper divisors (673998).

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

478002 is a wasteful number, since it uses less digits than its factorization.

478002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630.

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 478002 is about 691.3768870884. The cubic root of 478002 is about 78.1885641622.

Adding to 478002 its reverse (200874), we get a palindrome (678876).

The spelling of 478002 in words is "four hundred seventy-eight thousand, two".