477292768 has 48 divisors (see below), whose sum is σ = 999447120. Its totient is φ = 223727616.

The previous prime is 477292747. The next prime is 477292769. The reversal of 477292768 is 867292774.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477292769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54930 + ... + 63022.

It is an arithmetic number, because the mean of its divisors is an integer number (20821815).

Almost surely, 2^477292768 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 477292768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499723560).

477292768 is an abundant number, since it is smaller than the sum of its proper divisors (522154352).

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

477292768 is a wasteful number, since it uses less digits than its factorization.

477292768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8219 (or 8211 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 52.

The square root of 477292768 is about 21847.0311026464. The cubic root of 477292768 is about 781.4987444902.

The spelling of 477292768 in words is "four hundred seventy-seven million, two hundred ninety-two thousand, seven hundred sixty-eight".