1463448000 has 448 divisors, whose sum is σ = 5721071616. Its totient is φ = 322560000.

The previous prime is 1463447989. The next prime is 1463448047. The reversal of 1463448000 is 8443641.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5207860 + ... + 5208140.

Almost surely, 2^1463448000 is an apocalyptic number.

1463448000 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 1463448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860535808).

1463448000 is an abundant number, since it is smaller than the sum of its proper divisors (4257623616).

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

1463448000 is a wasteful number, since it uses less digits than its factorization.

1463448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1463448000 is about 38255.0388837863. The cubic root of 1463448000 is about 1135.3395453421.

The spelling of 1463448000 in words is "one billion, four hundred sixty-three million, four hundred forty-eight thousand".