477833466 has 64 divisors (see below), whose sum is σ = 1075576320. Its totient is φ = 140247360.

The previous prime is 477833449. The next prime is 477833471. The reversal of 477833466 is 664338774.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1022965 + ... + 1023431.

It is an arithmetic number, because the mean of its divisors is an integer number (16805880).

Almost surely, 2^477833466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477833466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537788160).

477833466 is an abundant number, since it is smaller than the sum of its proper divisors (597742854).

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

477833466 is a wasteful number, since it uses less digits than its factorization.

477833466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939.

The product of its digits is 2032128, while the sum is 48.

The square root of 477833466 is about 21859.4022333640. The cubic root of 477833466 is about 781.7937383765.

The spelling of 477833466 in words is "four hundred seventy-seven million, eight hundred thirty-three thousand, four hundred sixty-six".