475746900 has 72 divisors (see below), whose sum is σ = 1397098080. Its totient is φ = 124967040.

The previous prime is 475746893. The next prime is 475746941. The reversal of 475746900 is 9647574.

It is a super-2 number, since 2×475746900² = 452670225719220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8266 + ... + 31934.

It is an arithmetic number, because the mean of its divisors is an integer number (19404140).

Almost surely, 2^475746900 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 475746900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698549040).

475746900 is an abundant number, since it is smaller than the sum of its proper divisors (921351180).

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

475746900 is a wasteful number, since it uses less digits than its factorization.

475746900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23753 (or 23746 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 475746900 is about 21811.6230482741. The cubic root of 475746900 is about 780.6541192744.

The spelling of 475746900 in words is "four hundred seventy-five million, seven hundred forty-six thousand, nine hundred".