477980960 has 48 divisors (see below), whose sum is σ = 1139266296. Its totient is φ = 189493248.

The previous prime is 477980957. The next prime is 477980969. The reversal of 477980960 is 69089774.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 322130704 + 155850256 = 17948^2 + 12484^2 .

It is a junction number, because it is equal to n+sod(n) for n = 477980899 and 477980908.

It is not an unprimeable number, because it can be changed into a prime (477980969) 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, 4862 + ... + 31298.

Almost surely, 2^477980960 is an apocalyptic number.

477980960 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 477980960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569633148).

477980960 is an abundant number, since it is smaller than the sum of its proper divisors (661285336).

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

477980960 is a wasteful number, since it uses less digits than its factorization.

477980960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26565 (or 26557 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 50.

The square root of 477980960 is about 21862.7756700745. The cubic root of 477980960 is about 781.8741694831.

The spelling of 477980960 in words is "four hundred seventy-seven million, nine hundred eighty thousand, nine hundred sixty".