475352100 has 216 divisors, whose sum is σ = 1555025472. Its totient is φ = 121363200.

The previous prime is 475352093. The next prime is 475352123. The reversal of 475352100 is 1253574.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2747614 + ... + 2747786.

It is an arithmetic number, because the mean of its divisors is an integer number (7199192).

Almost surely, 2^475352100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475352100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777512736).

475352100 is an abundant number, since it is smaller than the sum of its proper divisors (1079673372).

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

475352100 is a wasteful number, since it uses less digits than its factorization.

475352100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

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

The square root of 475352100 is about 21802.5709493170. The cubic root of 475352100 is about 780.4381167880.

The spelling of 475352100 in words is "four hundred seventy-five million, three hundred fifty-two thousand, one hundred".