475531200 has 126 divisors (see below), whose sum is σ = 1690201344. Its totient is φ = 126804480.

The previous prime is 475531171. The next prime is 475531213. The reversal of 475531200 is 2135574.

It is a happy number.

It is a super-2 number, since 2×475531200² = 452259844346880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2112 + ... + 30911.

Almost surely, 2^475531200 is an apocalyptic number.

475531200 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 475531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845100672).

475531200 is an abundant number, since it is smaller than the sum of its proper divisors (1214670144).

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

475531200 is a wasteful number, since it uses less digits than its factorization.

475531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33051 (or 33033 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 475531200 is about 21806.6778762837. The cubic root of 475531200 is about 780.5361205735.

Adding to 475531200 its reverse (2135574), we get a palindrome (477666774).

The spelling of 475531200 in words is "four hundred seventy-five million, five hundred thirty-one thousand, two hundred".