463885344 has 144 divisors (see below), whose sum is σ = 1482691392. Its totient is φ = 136502784.

The previous prime is 463885327. The next prime is 463885349. The reversal of 463885344 is 443588364.

463885344 is a `hidden beast` number, since 4 + 638 + 8 + 5 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×463885344² = 430379224755996672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 463885344.

It is not an unprimeable number, because it can be changed into a prime (463885349) 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, 83419 + ... + 88805.

It is an arithmetic number, because the mean of its divisors is an integer number (10296468).

Almost surely, 2^463885344 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 463885344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741345696).

463885344 is an abundant number, since it is smaller than the sum of its proper divisors (1018806048).

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

463885344 is a wasteful number, since it uses less digits than its factorization.

463885344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5439 (or 5428 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 463885344 is about 21537.9976785216. The cubic root of 463885344 is about 774.1115557414. Note that the first 3 decimals are identical.

The spelling of 463885344 in words is "four hundred sixty-three million, eight hundred eighty-five thousand, three hundred forty-four".