463491782208 has 1120 divisors, whose sum is σ = 1759629191936. Its totient is φ = 117385003008.

The previous prime is 463491782189. The next prime is 463491782209. The reversal of 463491782208 is 802287194364.

463491782208 is a `hidden beast` number, since 4 + 6 + 349 + 1 + 78 + 220 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (463491782209) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1480804260 + ... + 1480804572.

Almost surely, 2^463491782208 is an apocalyptic number.

463491782208 is a gapful number since it is divisible by the number (48) 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 463491782208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879814595968).

463491782208 is an abundant number, since it is smaller than the sum of its proper divisors (1296137409728).

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

463491782208 is a wasteful number, since it uses less digits than its factorization.

463491782208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 463491782208 in words is "four hundred sixty-three billion, four hundred ninety-one million, seven hundred eighty-two thousand, two hundred eight".