463966776 has 192 divisors, whose sum is σ = 1628390400. Its totient is φ = 115893504.

The previous prime is 463966733. The next prime is 463966777. The reversal of 463966776 is 677669364.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463966777) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122625 + ... + 126351.

It is an arithmetic number, because the mean of its divisors is an integer number (8481200).

Almost surely, 2^463966776 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 463966776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814195200).

463966776 is an abundant number, since it is smaller than the sum of its proper divisors (1164423624).

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

463966776 is a wasteful number, since it uses less digits than its factorization.

463966776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778 (or 3771 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 54.

The square root of 463966776 is about 21539.8880219931. Note that the first 3 decimals coincide. The cubic root of 463966776 is about 774.1568498102.

The spelling of 463966776 in words is "four hundred sixty-three million, nine hundred sixty-six thousand, seven hundred seventy-six".