1463140000 has 180 divisors, whose sum is σ = 4190029074. Its totient is φ = 501312000.

The previous prime is 1463139943. The next prime is 1463140001. The reversal of 1463140000 is 413641.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 144288144 + 1318851856 = 12012^2 + 36316^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1463140000.

It is not an unprimeable number, because it can be changed into a prime (1463140001) 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 29 ways as a sum of consecutive naturals, for example, 979254 + ... + 980746.

Almost surely, 2^1463140000 is an apocalyptic number.

1463140000 is a gapful number since it is divisible by the number (10) 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 1463140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095014537).

1463140000 is an abundant number, since it is smaller than the sum of its proper divisors (2726889074).

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

1463140000 is an equidigital number, since it uses as much as digits as its factorization.

1463140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1463140000 is about 38251.0130584799. The cubic root of 1463140000 is about 1135.2598911932.

Adding to 1463140000 its reverse (413641), we get a palindrome (1463553641).

The spelling of 1463140000 in words is "one billion, four hundred sixty-three million, one hundred forty thousand".