463803648 has 432 divisors, whose sum is σ = 1670258688. Its totient is φ = 111513600.

The previous prime is 463803647. The next prime is 463803649. The reversal of 463803648 is 846308364.

It is an interprime number because it is at equal distance from previous prime (463803647) and next prime (463803649).

It is a super-2 number, since 2×463803648² = 430227647796215808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463803647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14961393 + ... + 14961423.

Almost surely, 2^463803648 is an apocalyptic number.

463803648 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 463803648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835129344).

463803648 is an abundant number, since it is smaller than the sum of its proper divisors (1206455040).

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

463803648 is a wasteful number, since it uses less digits than its factorization.

463803648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 463803648 is about 21536.1010398818. The cubic root of 463803648 is about 774.0661095039.

The spelling of 463803648 in words is "four hundred sixty-three million, eight hundred three thousand, six hundred forty-eight".