463364496 has 160 divisors (see below), whose sum is σ = 1543393280. Its totient is φ = 130356864.

The previous prime is 463364491. The next prime is 463364497. The reversal of 463364496 is 694463364.

463364496 is a `hidden beast` number, since 4 + 633 + 6 + 4 + 4 + 9 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (463364491) 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, 201465 + ... + 203751.

It is an arithmetic number, because the mean of its divisors is an integer number (9646208).

Almost surely, 2^463364496 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 463364496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771696640).

463364496 is an abundant number, since it is smaller than the sum of its proper divisors (1080028784).

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

463364496 is a wasteful number, since it uses less digits than its factorization.

463364496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2366 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The square root of 463364496 is about 21525.9029078922. The cubic root of 463364496 is about 773.8217244598.

The spelling of 463364496 in words is "four hundred sixty-three million, three hundred sixty-four thousand, four hundred ninety-six".