475898976 has 216 divisors, whose sum is σ = 1633905000. Its totient is φ = 135862272.

The previous prime is 475898963. The next prime is 475898977. The reversal of 475898976 is 679898574.

475898976 is a `hidden beast` number, since 47 + 589 + 8 + 9 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475898977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380400 + ... + 381648.

It is an arithmetic number, because the mean of its divisors is an integer number (7564375).

Almost surely, 2^475898976 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 475898976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816952500).

475898976 is an abundant number, since it is smaller than the sum of its proper divisors (1158006024).

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

475898976 is a wasteful number, since it uses less digits than its factorization.

475898976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1261 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The square root of 475898976 is about 21815.1088926918. The cubic root of 475898976 is about 780.7372910255.

It can be divided in two parts, 47589 and 8976, that added together give a palindrome (56565).

The spelling of 475898976 in words is "four hundred seventy-five million, eight hundred ninety-eight thousand, nine hundred seventy-six".