478100 has 36 divisors (see below), whose sum is σ = 1187424. Its totient is φ = 163680.

The previous prime is 478099. The next prime is 478111. The reversal of 478100 is 1874.

It is a happy number.

It is a super-2 number, since 2×478100² = 457159220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 359 + ... + 1041.

It is an arithmetic number, because the mean of its divisors is an integer number (32984).

2⁴⁷⁸¹⁰⁰ 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 478100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593712).

478100 is an abundant number, since it is smaller than the sum of its proper divisors (709324).

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

478100 is a wasteful number, since it uses less digits than its factorization.

478100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 478100 is about 691.4477565225. The cubic root of 478100 is about 78.1939072051.

Adding to 478100 its reverse (1874), we get a palindrome (479974).

The spelling of 478100 in words is "four hundred seventy-eight thousand, one hundred".