463834728 has 256 divisors, whose sum is σ = 1542758400. Its totient is φ = 126385920.

The previous prime is 463834711. The next prime is 463834751. The reversal of 463834728 is 827438364.

463834728 is a `hidden beast` number, since 4 + 638 + 3 + 4 + 7 + 2 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4334851 + ... + 4334957.

It is an arithmetic number, because the mean of its divisors is an integer number (6026400).

Almost surely, 2^463834728 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 463834728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771379200).

463834728 is an abundant number, since it is smaller than the sum of its proper divisors (1078923672).

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

463834728 is a wasteful number, since it uses less digits than its factorization.

463834728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 227 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 463834728 is about 21536.8226068750. The cubic root of 463834728 is about 774.0833994623.

The spelling of 463834728 in words is "four hundred sixty-three million, eight hundred thirty-four thousand, seven hundred twenty-eight".