477768834 has 64 divisors (see below), whose sum is σ = 1112313600. Its totient is φ = 151721856.

The previous prime is 477768791. The next prime is 477768839. The reversal of 477768834 is 438867774.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (477768839) 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 31 ways as a sum of consecutive naturals, for example, 388132 + ... + 389360.

It is an arithmetic number, because the mean of its divisors is an integer number (17379900).

Almost surely, 2^477768834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477768834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556156800).

477768834 is an abundant number, since it is smaller than the sum of its proper divisors (634544766).

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

477768834 is a wasteful number, since it uses less digits than its factorization.

477768834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1570 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The square root of 477768834 is about 21857.9238263839. The cubic root of 477768834 is about 781.7584881796.

The spelling of 477768834 in words is "four hundred seventy-seven million, seven hundred sixty-eight thousand, eight hundred thirty-four".