475989606400 has 765 divisors, whose sum is σ = 1513676458133. Its totient is φ = 148360396800.

The previous prime is 475989606397. The next prime is 475989606403. The reversal of 475989606400 is 4606989574.

It is a happy number.

The square root of 475989606400 is 689920.

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

It is an interprime number because it is at equal distance from previous prime (475989606397) and next prime (475989606403).

It can be written as a sum of positive squares in only one way, i.e., 171356258304 + 304633348096 = 413952^2 + 551936^2 .

It is a super-3 number, since 3×475989606400³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (475989606403) 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 44 ways as a sum of consecutive naturals, for example, 43271782395 + ... + 43271782405.

Almost surely, 2^475989606400 is an apocalyptic number.

475989606400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

475989606400 is the 689920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475989606400

475989606400 is an abundant number, since it is smaller than the sum of its proper divisors (1037686851733).

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

475989606400 is an frugal number, since it uses more digits than its factorization.

475989606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 475989606400 in words is "four hundred seventy-five billion, nine hundred eighty-nine million, six hundred six thousand, four hundred".