1463264560 has 80 divisors (see below), whose sum is σ = 3498258240. Its totient is φ = 568995840.

The previous prime is 1463264557. The next prime is 1463264563. The reversal of 1463264560 is 654623641.

It is an interprime number because it is at equal distance from previous prime (1463264557) and next prime (1463264563).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1463264560² = 4282286345103987200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1463264563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412876 + ... + 416404.

It is an arithmetic number, because the mean of its divisors is an integer number (43728228).

Almost surely, 2^1463264560 is an apocalyptic number.

1463264560 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 1463264560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749129120).

1463264560 is an abundant number, since it is smaller than the sum of its proper divisors (2034993680).

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

1463264560 is a wasteful number, since it uses less digits than its factorization.

1463264560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3686 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 1463264560 is about 38252.6412159997. The cubic root of 1463264560 is about 1135.2921059185.

The spelling of 1463264560 in words is "one billion, four hundred sixty-three million, two hundred sixty-four thousand, five hundred sixty".