477228200 has 48 divisors (see below), whose sum is σ = 1114272060. Its totient is φ = 190080000.

The previous prime is 477228161. The next prime is 477228209. The reversal of 477228200 is 2822774.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 366263044 + 110965156 = 19138^2 + 10534^2 .

It is not an unprimeable number, because it can be changed into a prime (477228209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43250 + ... + 53150.

Almost surely, 2^477228200 is an apocalyptic number.

477228200 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 477228200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557136030).

477228200 is an abundant number, since it is smaller than the sum of its proper divisors (637043860).

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

477228200 is a wasteful number, since it uses less digits than its factorization.

477228200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10158 (or 10149 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 477228200 is about 21845.5533232738. The cubic root of 477228200 is about 781.4635026080.

The spelling of 477228200 in words is "four hundred seventy-seven million, two hundred twenty-eight thousand, two hundred".