463255056044240 has 160 divisors (see below), whose sum is σ = 1136491584883200. Its totient is φ = 175125754183680.

The previous prime is 463255056044219. The next prime is 463255056044257. The reversal of 463255056044240 is 42440650552364.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8931225026 + ... + 8931276894.

It is an arithmetic number, because the mean of its divisors is an integer number (7103072405520).

Almost surely, 2^{463255056044240} is an apocalyptic number.

463255056044240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463255056044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568245792441600).

463255056044240 is an abundant number, since it is smaller than the sum of its proper divisors (673236528838960).

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

463255056044240 is a wasteful number, since it uses less digits than its factorization.

463255056044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65965 (or 65959 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 50.

The spelling of 463255056044240 in words is "four hundred sixty-three trillion, two hundred fifty-five billion, fifty-six million, forty-four thousand, two hundred forty".