1463132040 has 64 divisors (see below), whose sum is σ = 4392273600. Its totient is φ = 389912832.

The previous prime is 1463132039. The next prime is 1463132071. The reversal of 1463132040 is 402313641.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1463132040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243391 + ... + 249329.

It is an arithmetic number, because the mean of its divisors is an integer number (68629275).

Almost surely, 2^1463132040 is an apocalyptic number.

1463132040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1463132040 is an abundant number, since it is smaller than the sum of its proper divisors (2929141560).

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

1463132040 is a wasteful number, since it uses less digits than its factorization.

1463132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8006 (or 8002 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1463132040 is about 38250.9090088066. The cubic root of 1463132040 is about 1135.2578324508.

Adding to 1463132040 its reverse (402313641), we get a palindrome (1865445681).

The spelling of 1463132040 in words is "one billion, four hundred sixty-three million, one hundred thirty-two thousand, forty".