478647900 has 144 divisors (see below), whose sum is σ = 1592085600. Its totient is φ = 123217920.

The previous prime is 478647893. The next prime is 478647959. The reversal of 478647900 is 9746874.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75244 + ... + 81356.

It is an arithmetic number, because the mean of its divisors is an integer number (11056150).

Almost surely, 2^478647900 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 478647900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796042800).

478647900 is an abundant number, since it is smaller than the sum of its proper divisors (1113437700).

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

478647900 is a wasteful number, since it uses less digits than its factorization.

478647900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6165 (or 6152 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 478647900 is about 21878.0232196604. The cubic root of 478647900 is about 782.2376573294.

The spelling of 478647900 in words is "four hundred seventy-eight million, six hundred forty-seven thousand, nine hundred".