1463996160 has 288 divisors, whose sum is σ = 5668911360. Its totient is φ = 354816000.

The previous prime is 1463996153. The next prime is 1463996179. The reversal of 1463996160 is 616993641.

1463996160 is a `hidden beast` number, since 1 + 4 + 639 + 9 + 6 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 378235 + ... + 382085.

It is an arithmetic number, because the mean of its divisors is an integer number (19683720).

Almost surely, 2^1463996160 is an apocalyptic number.

1463996160 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 1463996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834455680).

1463996160 is an abundant number, since it is smaller than the sum of its proper divisors (4204915200).

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

1463996160 is a wasteful number, since it uses less digits than its factorization.

1463996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 1463996160 is about 38262.2027593812. The cubic root of 1463996160 is about 1135.4812813968.

The spelling of 1463996160 in words is "one billion, four hundred sixty-three million, nine hundred ninety-six thousand, one hundred sixty".