463853772 has 72 divisors (see below), whose sum is σ = 1244932416. Its totient is φ = 145119744.

The previous prime is 463853759. The next prime is 463853777. The reversal of 463853772 is 277358364.

463853772 is a `hidden beast` number, since 4 + 638 + 5 + 3 + 7 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (463853777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282538 + ... + 284174.

It is an arithmetic number, because the mean of its divisors is an integer number (17290728).

Almost surely, 2^463853772 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 463853772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622466208).

463853772 is an abundant number, since it is smaller than the sum of its proper divisors (781078644).

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

463853772 is a wasteful number, since it uses less digits than its factorization.

463853772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127 (or 2122 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 463853772 is about 21537.2647288369. The cubic root of 463853772 is about 774.0939933525.

The spelling of 463853772 in words is "four hundred sixty-three million, eight hundred fifty-three thousand, seven hundred seventy-two".