1463456000 has 288 divisors, whose sum is σ = 4017686400. Its totient is φ = 528998400.

The previous prime is 1463455997. The next prime is 1463456003. The reversal of 1463456000 is 6543641.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1463455997) and next prime (1463456003).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1463456003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17631959 + ... + 17632041.

It is an arithmetic number, because the mean of its divisors is an integer number (13950300).

Almost surely, 2^1463456000 is an apocalyptic number.

1463456000 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 1463456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008843200).

1463456000 is an abundant number, since it is smaller than the sum of its proper divisors (2554230400).

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

1463456000 is an equidigital number, since it uses as much as digits as its factorization.

1463456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 1463456000 is about 38255.1434450323. The cubic root of 1463456000 is about 1135.3416141321.

Adding to 1463456000 its reverse (6543641), we get a palindrome (1469999641).

The spelling of 1463456000 in words is "one billion, four hundred sixty-three million, four hundred fifty-six thousand".