478600000 has 84 divisors (see below), whose sum is σ = 1187572428. Its totient is φ = 191360000.

The previous prime is 478599991. The next prime is 478600007. The reversal of 478600000 is 6874.

It can be written as a sum of positive squares in 6 ways, for example, as 472801536 + 5798464 = 21744^2 + 2408^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478600007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198804 + ... + 201196.

It is an arithmetic number, because the mean of its divisors is an integer number (14137767).

Almost surely, 2^478600000 is an apocalyptic number.

478600000 is a gapful number since it is divisible by the number (40) 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 478600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593786214).

478600000 is an abundant number, since it is smaller than the sum of its proper divisors (708972428).

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

478600000 is an frugal number, since it uses more digits than its factorization.

478600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2400 counting only the distinct ones).

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

The square root of 478600000 is about 21876.9284864215. The cubic root of 478600000 is about 782.2115626895.

Adding to 478600000 its reverse (6874), we get a palindrome (478606874).

The spelling of 478600000 in words is "four hundred seventy-eight million, six hundred thousand".