475117200 has 180 divisors, whose sum is σ = 1658270848. Its totient is φ = 125971200.

The previous prime is 475117199. The next prime is 475117229. The reversal of 475117200 is 2711574.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 975357 + ... + 975843.

Almost surely, 2^475117200 is an apocalyptic number.

475117200 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 475117200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829135424).

475117200 is an abundant number, since it is smaller than the sum of its proper divisors (1183153648).

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

475117200 is a wasteful number, since it uses less digits than its factorization.

475117200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 475117200 is about 21797.1833042712. The cubic root of 475117200 is about 780.3095418368.

Adding to 475117200 its reverse (2711574), we get a palindrome (477828774).

The spelling of 475117200 in words is "four hundred seventy-five million, one hundred seventeen thousand, two hundred".