476496288 has 216 divisors, whose sum is σ = 1500670080. Its totient is φ = 142871040.

The previous prime is 476496271. The next prime is 476496289. The reversal of 476496288 is 882694674.

476496288 is a `hidden beast` number, since 4 + 7 + 6 + 4 + 9 + 628 + 8 = 666.

Its product of digits (4644864) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476496289) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8990470 + ... + 8990522.

Almost surely, 2^476496288 is an apocalyptic number.

476496288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476496288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750335040).

476496288 is an abundant number, since it is smaller than the sum of its proper divisors (1024173792).

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

476496288 is a wasteful number, since it uses less digits than its factorization.

476496288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 108 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 476496288 is about 21828.7949278012. The cubic root of 476496288 is about 781.0637950427.

The spelling of 476496288 in words is "four hundred seventy-six million, four hundred ninety-six thousand, two hundred eighty-eight".