1463313432 has 64 divisors (see below), whose sum is σ = 4190630400. Its totient is φ = 417116160.

The previous prime is 1463313427. The next prime is 1463313451. The reversal of 1463313432 is 2343133641.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1463313432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63832 + ... + 83672.

It is an arithmetic number, because the mean of its divisors is an integer number (65478600).

Almost surely, 2^1463313432 is an apocalyptic number.

1463313432 is a gapful number since it is divisible by the number (12) 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 1463313432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095315200).

1463313432 is an abundant number, since it is smaller than the sum of its proper divisors (2727316968).

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

1463313432 is a wasteful number, since it uses less digits than its factorization.

1463313432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20296 (or 20292 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

The square root of 1463313432 is about 38253.2800162287. The cubic root of 1463313432 is about 1135.3047450952.

The spelling of 1463313432 in words is "one billion, four hundred sixty-three million, three hundred thirteen thousand, four hundred thirty-two".