1463788368 has 120 divisors (see below), whose sum is σ = 4887663360. Its totient is φ = 418219200.

The previous prime is 1463788363. The next prime is 1463788387. The reversal of 1463788368 is 8638873641.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1463788363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13408 + ... + 55743.

It is an arithmetic number, because the mean of its divisors is an integer number (40730528).

Almost surely, 2^1463788368 is an apocalyptic number.

1463788368 is a gapful number since it is divisible by the number (18) 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 1463788368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443831680).

1463788368 is an abundant number, since it is smaller than the sum of its proper divisors (3423874992).

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

1463788368 is a wasteful number, since it uses less digits than its factorization.

1463788368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69182 (or 69163 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 1463788368 is about 38259.4872940033. The cubic root of 1463788368 is about 1135.4275574194.

The spelling of 1463788368 in words is "one billion, four hundred sixty-three million, seven hundred eighty-eight thousand, three hundred sixty-eight".