1463250560 has 64 divisors (see below), whose sum is σ = 3529214280. Its totient is φ = 580091904.

The previous prime is 1463250559. The next prime is 1463250583. The reversal of 1463250560 is 650523641.

It can be written as a sum of positive squares in 4 ways, for example, as 741146176 + 722104384 = 27224^2 + 26872^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1463250560² = 4282204402680627200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62204 + ... + 82436.

Almost surely, 2^1463250560 is an apocalyptic number.

1463250560 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 1463250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764607140).

1463250560 is an abundant number, since it is smaller than the sum of its proper divisors (2065963720).

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

1463250560 is a wasteful number, since it uses less digits than its factorization.

1463250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20365 (or 20353 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 1463250560 is about 38252.4582216620. The cubic root of 1463250560 is about 1135.2884852152.

The spelling of 1463250560 in words is "one billion, four hundred sixty-three million, two hundred fifty thousand, five hundred sixty".