478736500 has 144 divisors (see below), whose sum is σ = 1183382928. Its totient is φ = 168960000.

The previous prime is 478736497. The next prime is 478736527. The reversal of 478736500 is 5637874.

It can be written as a sum of positive squares in 8 ways, for example, as 348867684 + 129868816 = 18678^2 + 11396^2 .

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2480404 + ... + 2480596.

It is an arithmetic number, because the mean of its divisors is an integer number (8217937).

Almost surely, 2^478736500 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 478736500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591691464).

478736500 is an abundant number, since it is smaller than the sum of its proper divisors (704646428).

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

478736500 is a wasteful number, since it uses less digits than its factorization.

478736500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 478736500 is about 21880.0479889785. The cubic root of 478736500 is about 782.2859196537.

The spelling of 478736500 in words is "four hundred seventy-eight million, seven hundred thirty-six thousand, five hundred".