463823808 has 112 divisors (see below), whose sum is σ = 1431340800. Its totient is φ = 132502272.

The previous prime is 463823803. The next prime is 463823813. The reversal of 463823808 is 808328364.

It is an interprime number because it is at equal distance from previous prime (463823803) and next prime (463823813).

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a self number, because there is not a number n which added to its sum of digits gives 463823808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463823803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62335 + ... + 69377.

Almost surely, 2^463823808 is an apocalyptic number.

463823808 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 463823808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715670400).

463823808 is an abundant number, since it is smaller than the sum of its proper divisors (967516992).

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

463823808 is an equidigital number, since it uses as much as digits as its factorization.

463823808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7079 (or 7055 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 463823808 is about 21536.5690860917. The cubic root of 463823808 is about 774.0773247001.

The spelling of 463823808 in words is "four hundred sixty-three million, eight hundred twenty-three thousand, eight hundred eight".