463578144 has 48 divisors (see below), whose sum is σ = 1246583520. Its totient is φ = 150755840.

The previous prime is 463578119. The next prime is 463578257. The reversal of 463578144 is 441875364.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 463578096 and 463578105.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 54954 + ... + 62825.

It is an arithmetic number, because the mean of its divisors is an integer number (25970490).

Almost surely, 2^463578144 is an apocalyptic number.

It is an amenable number.

463578144 is an abundant number, since it is smaller than the sum of its proper divisors (783005376).

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

463578144 is a wasteful number, since it uses less digits than its factorization.

463578144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117833 (or 117825 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 463578144 is about 21530.8649152792. The cubic root of 463578144 is about 773.9406373691.

The spelling of 463578144 in words is "four hundred sixty-three million, five hundred seventy-eight thousand, one hundred forty-four".