478600 has 24 divisors (see below), whose sum is σ = 1113210. Its totient is φ = 191360.

The previous prime is 478589. The next prime is 478603. The reversal of 478600 is 6874.

It can be written as a sum of positive squares in 3 ways, for example, as 206116 + 272484 = 454^2 + 522^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (478603) by changing a digit.

478600 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 5 ways as a sum of consecutive naturals, for example, 997 + ... + 1396.

2⁴⁷⁸⁶⁰⁰ is an apocalyptic number.

478600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478600 is an abundant number, since it is smaller than the sum of its proper divisors (634610).

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

478600 is a wasteful number, since it uses less digits than its factorization.

478600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 478600 is about 691.8092222571. The cubic root of 478600 is about 78.2211562690.

The spelling of 478600 in words is "four hundred seventy-eight thousand, six hundred".