463366144 has 48 divisors (see below), whose sum is σ = 981080100. Its totient is φ = 218038272.

The previous prime is 463366081. The next prime is 463366159. The reversal of 463366144 is 441663364.

It can be written as a sum of positive squares in 2 ways, for example, as 444703744 + 18662400 = 21088^2 + 4320^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28162 + ... + 41470.

Almost surely, 2^463366144 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 463366144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490540050).

463366144 is an abundant number, since it is smaller than the sum of its proper divisors (517713956).

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

463366144 is a wasteful number, since it uses less digits than its factorization.

463366144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13348 (or 13328 counting only the distinct ones).

The product of its digits is 124416, while the sum is 37.

The square root of 463366144 is about 21525.9411873209. The cubic root of 463366144 is about 773.8226418490.

The spelling of 463366144 in words is "four hundred sixty-three million, three hundred sixty-six thousand, one hundred forty-four".