1463288960 has 192 divisors, whose sum is σ = 4212243000. Its totient is φ = 484098048.

The previous prime is 1463288951. The next prime is 1463288963. The reversal of 1463288960 is 698823641.

It can be written as a sum of positive squares in 4 ways, for example, as 1437319744 + 25969216 = 37912^2 + 5096^2 .

It is not an unprimeable number, because it can be changed into a prime (1463288963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 908636 + ... + 910244.

Almost surely, 2^1463288960 is an apocalyptic number.

1463288960 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 1463288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106121500).

1463288960 is an abundant number, since it is smaller than the sum of its proper divisors (2748954040).

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

1463288960 is a wasteful number, since it uses less digits than its factorization.

1463288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The square root of 1463288960 is about 38252.9601468958. The cubic root of 1463288960 is about 1135.2984162318.

The spelling of 1463288960 in words is "one billion, four hundred sixty-three million, two hundred eighty-eight thousand, nine hundred sixty".