463814784 has 96 divisors (see below), whose sum is σ = 1339114140. Its totient is φ = 154091520.

The previous prime is 463814779. The next prime is 463814807. The reversal of 463814784 is 487418364.

463814784 is a `hidden beast` number, since 4 + 638 + 1 + 4 + 7 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 463454784 + 360000 = 21528^2 + 600^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×463814784³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 526024 + ... + 526904.

Almost surely, 2^463814784 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 463814784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669557070).

463814784 is an abundant number, since it is smaller than the sum of its proper divisors (875299356).

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

463814784 is a wasteful number, since it uses less digits than its factorization.

463814784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1343 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 463814784 is about 21536.3595809505. The cubic root of 463814784 is about 774.0723046048.

The spelling of 463814784 in words is "four hundred sixty-three million, eight hundred fourteen thousand, seven hundred eighty-four".