475877952 has 336 divisors, whose sum is σ = 1616659200. Its totient is φ = 132295680.

The previous prime is 475877911. The next prime is 475877959. The reversal of 475877952 is 259778574.

It is a happy number.

475877952 is a `hidden beast` number, since 4 + 7 + 587 + 7 + 9 + 52 = 666.

It is not an unprimeable number, because it can be changed into a prime (475877959) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7102623 + ... + 7102689.

Almost surely, 2^475877952 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 475877952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808329600).

475877952 is an abundant number, since it is smaller than the sum of its proper divisors (1140781248).

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

475877952 is a wasteful number, since it uses less digits than its factorization.

475877952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its digits is 4939200, while the sum is 54.

The square root of 475877952 is about 21814.6270195023. The cubic root of 475877952 is about 780.7257938637.

The spelling of 475877952 in words is "four hundred seventy-five million, eight hundred seventy-seven thousand, nine hundred fifty-two".