1463132160 has 588 divisors, whose sum is σ = 6124063698. Its totient is φ = 334430208.

The previous prime is 1463132129. The next prime is 1463132197. The reversal of 1463132160 is 612313641.

1463132160 is a `hidden beast` number, since 1 + 4 + 631 + 3 + 21 + 6 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1316818944 + 146313216 = 36288^2 + 12096^2 .

It is a tau number, because it is divible by the number of its divisors (588).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 209018877 + ... + 209018883.

Almost surely, 2^1463132160 is an apocalyptic number.

1463132160 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 1463132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062031849).

1463132160 is an abundant number, since it is smaller than the sum of its proper divisors (4660931538).

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

1463132160 is an frugal number, since it uses more digits than its factorization.

1463132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1463132160 is about 38250.9105773967. The cubic root of 1463132160 is about 1135.2578634872.

The spelling of 1463132160 in words is "one billion, four hundred sixty-three million, one hundred thirty-two thousand, one hundred sixty".