1463556640 has 96 divisors (see below), whose sum is σ = 4255614720. Its totient is φ = 463186944.

The previous prime is 1463556637. The next prime is 1463556649. The reversal of 1463556640 is 466553641.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1463556593 and 1463556602.

It is not an unprimeable number, because it can be changed into a prime (1463556649) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35700 + ... + 64819.

It is an arithmetic number, because the mean of its divisors is an integer number (44329320).

Almost surely, 2^1463556640 is an apocalyptic number.

1463556640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1463556640 is an abundant number, since it is smaller than the sum of its proper divisors (2792058080).

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

1463556640 is a wasteful number, since it uses less digits than its factorization.

1463556640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100554 (or 100546 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The square root of 1463556640 is about 38256.4588010966. The cubic root of 1463556640 is about 1135.3676388664.

Subtracting from 1463556640 its reverse (466553641), we obtain a cube (997002999 = 999³).

The spelling of 1463556640 in words is "one billion, four hundred sixty-three million, five hundred fifty-six thousand, six hundred forty".