463312368 has 120 divisors (see below), whose sum is σ = 1376519040. Its totient is φ = 145157760.

The previous prime is 463312363. The next prime is 463312387. The reversal of 463312368 is 863213364.

463312368 is a `hidden beast` number, since 4 + 633 + 12 + 3 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463312361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194223 + ... + 196593.

It is an arithmetic number, because the mean of its divisors is an integer number (11470992).

Almost surely, 2^463312368 is an apocalyptic number.

463312368 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 463312368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688259520).

463312368 is an abundant number, since it is smaller than the sum of its proper divisors (913206672).

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

463312368 is a wasteful number, since it uses less digits than its factorization.

463312368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2458 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 463312368 is about 21524.6920535463. The cubic root of 463312368 is about 773.7927053385.

The spelling of 463312368 in words is "four hundred sixty-three million, three hundred twelve thousand, three hundred sixty-eight".