463614144 has 112 divisors (see below), whose sum is σ = 1439923968. Its totient is φ = 128867328.

The previous prime is 463614133. The next prime is 463614149. The reversal of 463614144 is 441416364.

It is a tau number, because it is divible by the number of its divisors (112).

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 (463614149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45067 + ... + 54389.

It is an arithmetic number, because the mean of its divisors is an integer number (12856464).

Almost surely, 2^463614144 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 463614144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719961984).

463614144 is an abundant number, since it is smaller than the sum of its proper divisors (976309824).

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

463614144 is a wasteful number, since it uses less digits than its factorization.

463614144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9382 (or 9372 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 463614144 is about 21531.7009081958. The cubic root of 463614144 is about 773.9606707710.

It can be divided in two parts, 46361 and 4144, that added together give a palindrome (50505).

The spelling of 463614144 in words is "four hundred sixty-three million, six hundred fourteen thousand, one hundred forty-four".