475256100 has 144 divisors (see below), whose sum is σ = 1519902720. Its totient is φ = 113692800.

The previous prime is 475256099. The next prime is 475256129. The reversal of 475256100 is 1652574.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259789 + ... + 261611.

It is an arithmetic number, because the mean of its divisors is an integer number (10554880).

Almost surely, 2^475256100 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 475256100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759951360).

475256100 is an abundant number, since it is smaller than the sum of its proper divisors (1044646620).

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

475256100 is a wasteful number, since it uses less digits than its factorization.

475256100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 475256100 is about 21800.3692629276. The cubic root of 475256100 is about 780.3855753116.

The spelling of 475256100 in words is "four hundred seventy-five million, two hundred fifty-six thousand, one hundred".