477989760 has 128 divisors (see below), whose sum is σ = 1531395360. Its totient is φ = 126812160.

The previous prime is 477989747. The next prime is 477989801. The reversal of 477989760 is 67989774.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 477989760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462204 + ... + 463236.

Almost surely, 2^477989760 is an apocalyptic number.

477989760 is a gapful number since it is divisible by the number (40) 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 477989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765697680).

477989760 is an abundant number, since it is smaller than the sum of its proper divisors (1053405600).

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

477989760 is a wasteful number, since it uses less digits than its factorization.

477989760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 57.

The square root of 477989760 is about 21862.9769244721. The cubic root of 477989760 is about 781.8789677569.

The spelling of 477989760 in words is "four hundred seventy-seven million, nine hundred eighty-nine thousand, seven hundred sixty".