475314400 has 72 divisors (see below), whose sum is σ = 1265872104. Its totient is φ = 172838400.

The previous prime is 475314361. The next prime is 475314403. The reversal of 475314400 is 4413574.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475314403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 18207 + ... + 35806.

It is an arithmetic number, because the mean of its divisors is an integer number (17581557).

Almost surely, 2^475314400 is an apocalyptic number.

475314400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

475314400 is an abundant number, since it is smaller than the sum of its proper divisors (790557704).

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

475314400 is a wasteful number, since it uses less digits than its factorization.

475314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54044 (or 54031 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 475314400 is about 21801.7063552374. The cubic root of 475314400 is about 780.4174841560.

Adding to 475314400 its reverse (4413574), we get a palindrome (479727974).

The spelling of 475314400 in words is "four hundred seventy-five million, three hundred fourteen thousand, four hundred".