475950852 has 72 divisors (see below), whose sum is σ = 1301594840. Its totient is φ = 145774080.

The previous prime is 475950847. The next prime is 475950859. The reversal of 475950852 is 258059574.

475950852 is a `hidden beast` number, since 4 + 7 + 595 + 0 + 8 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72182016 + 403768836 = 8496^2 + 20094^2 .

It is a junction number, because it is equal to n+sod(n) for n = 475950798 and 475950807.

It is not an unprimeable number, because it can be changed into a prime (475950859) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104952 + ... + 109392.

Almost surely, 2^475950852 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 475950852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650797420).

475950852 is an abundant number, since it is smaller than the sum of its proper divisors (825643988).

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

475950852 is a wasteful number, since it uses less digits than its factorization.

475950852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4693 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 475950852 is about 21816.2978527522. The cubic root of 475950852 is about 780.7656584299.

It can be divided in two parts, 4759 and 50852, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 475950852 in words is "four hundred seventy-five million, nine hundred fifty thousand, eight hundred fifty-two".