477786960 has 240 divisors, whose sum is σ = 1873737216. Its totient is φ = 106831872.

The previous prime is 477786949. The next prime is 477787019. The reversal of 477786960 is 69687774.

477786960 is a `hidden beast` number, since 477 + 7 + 86 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 477786897 and 477786906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235872 + ... + 237888.

Almost surely, 2^477786960 is an apocalyptic number.

477786960 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 477786960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936868608).

477786960 is an abundant number, since it is smaller than the sum of its proper divisors (1395950256).

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

477786960 is a wasteful number, since it uses less digits than its factorization.

477786960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 477786960 is about 21858.3384546950. The cubic root of 477786960 is about 781.7683743939.

Adding to 477786960 its product of nonzero digits (3556224), we get a palindrome (481343184).

The spelling of 477786960 in words is "four hundred seventy-seven million, seven hundred eighty-six thousand, nine hundred sixty".