463268736 has 288 divisors, whose sum is σ = 1609896600. Its totient is φ = 127346688.

The previous prime is 463268723. The next prime is 463268747. The reversal of 463268736 is 637862364.

463268736 is a `hidden beast` number, since 4 + 632 + 6 + 8 + 7 + 3 + 6 = 666.

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

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

Its product of digits (870912) is a multiple of the sum of its prime divisors (324).

It is a junction number, because it is equal to n+sod(n) for n = 463268691 and 463268700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1636851 + ... + 1637133.

Almost surely, 2^463268736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463268736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804948300).

463268736 is an abundant number, since it is smaller than the sum of its proper divisors (1146627864).

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

463268736 is a wasteful number, since it uses less digits than its factorization.

463268736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 324 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 463268736 is about 21523.6784960192. The cubic root of 463268736 is about 773.7684141795.

The spelling of 463268736 in words is "four hundred sixty-three million, two hundred sixty-eight thousand, seven hundred thirty-six".