463120980336 has 240 divisors, whose sum is σ = 1569114016704. Its totient is φ = 124478816256.

The previous prime is 463120980317. The next prime is 463120980349. The reversal of 463120980336 is 633089021364.

463120980336 is a `hidden beast` number, since 4 + 6 + 31 + 209 + 80 + 336 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 463120980291 and 463120980300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47170500 + ... + 47180316.

Almost surely, 2^463120980336 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 463120980336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784557008352).

463120980336 is an abundant number, since it is smaller than the sum of its proper divisors (1105993036368).

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

463120980336 is a wasteful number, since it uses less digits than its factorization.

463120980336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12608 (or 12599 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 463120980336 in words is "four hundred sixty-three billion, one hundred twenty million, nine hundred eighty thousand, three hundred thirty-six".