463317888 has 256 divisors, whose sum is σ = 1480550400. Its totient is φ = 126720000.

The previous prime is 463317887. The next prime is 463317889. The reversal of 463317888 is 888713364.

It is an interprime number because it is at equal distance from previous prime (463317887) and next prime (463317889).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463317887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1845763 + ... + 1846013.

It is an arithmetic number, because the mean of its divisors is an integer number (5783400).

Almost surely, 2^463317888 is an apocalyptic number.

463317888 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 463317888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740275200).

463317888 is an abundant number, since it is smaller than the sum of its proper divisors (1017232512).

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

463317888 is a wasteful number, since it uses less digits than its factorization.

463317888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 309 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 463317888 is about 21524.8202779954. The cubic root of 463317888 is about 773.7957783687.

The spelling of 463317888 in words is "four hundred sixty-three million, three hundred seventeen thousand, eight hundred eighty-eight".