463373568 has 288 divisors, whose sum is σ = 1601841920. Its totient is φ = 129392640.

The previous prime is 463373567. The next prime is 463373591. The reversal of 463373568 is 865373364.

463373568 is a `hidden beast` number, since 4 + 633 + 7 + 3 + 5 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463373567) 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, 2951346 + ... + 2951502.

Almost surely, 2^463373568 is an apocalyptic number.

463373568 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 463373568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800920960).

463373568 is an abundant number, since it is smaller than the sum of its proper divisors (1138468352).

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

463373568 is a wasteful number, since it uses less digits than its factorization.

463373568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 230 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 463373568 is about 21526.1136297289. The cubic root of 463373568 is about 773.8267745265.

The spelling of 463373568 in words is "four hundred sixty-three million, three hundred seventy-three thousand, five hundred sixty-eight".