463799296 has 33 divisors (see below), whose sum is σ = 928525341. Its totient is φ = 231555072.

The previous prime is 463799279. The next prime is 463799299. The reversal of 463799296 is 692997364.

The square root of 463799296 is 21536.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 151782400 + 312016896 = 12320^2 + 17664^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (463799299) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 688816 + ... + 689488.

Almost surely, 2^463799296 is an apocalyptic number.

463799296 is the 21536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463799296

463799296 is an abundant number, since it is smaller than the sum of its proper divisors (464726045).

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

463799296 is an frugal number, since it uses more digits than its factorization.

463799296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 675 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 55.

The cubic root of 463799296 is about 774.0636884030.

The spelling of 463799296 in words is "four hundred sixty-three million, seven hundred ninety-nine thousand, two hundred ninety-six".