475638100 has 108 divisors (see below), whose sum is σ = 1208401824. Its totient is φ = 162499680.

The previous prime is 475638047. The next prime is 475638109. The reversal of 475638100 is 1836574.

It is a super-2 number, since 2×475638100² = 452463204343220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475638109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1680559 + ... + 1680841.

Almost surely, 2^475638100 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 475638100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604200912).

475638100 is an abundant number, since it is smaller than the sum of its proper divisors (732763724).

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

475638100 is an equidigital number, since it uses as much as digits as its factorization.

475638100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 475638100 is about 21809.1288225825. The cubic root of 475638100 is about 780.5946046854.

The spelling of 475638100 in words is "four hundred seventy-five million, six hundred thirty-eight thousand, one hundred".