477522792 has 144 divisors (see below), whose sum is σ = 1402996140. Its totient is φ = 146644992.

The previous prime is 477522743. The next prime is 477522811. The reversal of 477522792 is 297225774.

It can be written as a sum of positive squares in 6 ways, for example, as 326380356 + 151142436 = 18066^2 + 12294^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1102608 + ... + 1103040.

Almost surely, 2^477522792 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 477522792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701498070).

477522792 is an abundant number, since it is smaller than the sum of its proper divisors (925473348).

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

477522792 is a wasteful number, since it uses less digits than its factorization.

477522792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 508 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 477522792 is about 21852.2948909262. The cubic root of 477522792 is about 781.6242681442.

The spelling of 477522792 in words is "four hundred seventy-seven million, five hundred twenty-two thousand, seven hundred ninety-two".