476548900 has 81 divisors (see below), whose sum is σ = 1081134579. Its totient is φ = 182324160.

The previous prime is 476548889. The next prime is 476548901. The reversal of 476548900 is 9845674.

The square root of 476548900 is 21830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 45239076 + 431309824 = 6726^2 + 20768^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (476548901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8077071 + ... + 8077129.

Almost surely, 2^476548900 is an apocalyptic number.

476548900 is the 21830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476548900

476548900 is an abundant number, since it is smaller than the sum of its proper divisors (604585679).

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

476548900 is a wasteful number, since it uses less digits than its factorization.

476548900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The cubic root of 476548900 is about 781.0925408533.

The spelling of 476548900 in words is "four hundred seventy-six million, five hundred forty-eight thousand, nine hundred".