476478200 has 96 divisors (see below), whose sum is σ = 1272240000. Its totient is φ = 164131200.

The previous prime is 476478199. The next prime is 476478203. The reversal of 476478200 is 2874674.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476478203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36101 + ... + 47499.

It is an arithmetic number, because the mean of its divisors is an integer number (13252500).

Almost surely, 2^476478200 is an apocalyptic number.

476478200 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 476478200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636120000).

476478200 is an abundant number, since it is smaller than the sum of its proper divisors (795761800).

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

476478200 is a wasteful number, since it uses less digits than its factorization.

476478200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11445 (or 11436 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 476478200 is about 21828.3806087396. The cubic root of 476478200 is about 781.0539117473.

The spelling of 476478200 in words is "four hundred seventy-six million, four hundred seventy-eight thousand, two hundred".