1463967414 has 72 divisors (see below), whose sum is σ = 3973656960. Its totient is φ = 386098272.

The previous prime is 1463967397. The next prime is 1463967433. The reversal of 1463967414 is 4147693641.

1463967414 is a `hidden beast` number, since 1 + 4 + 639 + 6 + 7 + 4 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1463967414.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 52374 + ... + 75305.

It is an arithmetic number, because the mean of its divisors is an integer number (55189680).

Almost surely, 2^1463967414 is an apocalyptic number.

1463967414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1463967414 is an abundant number, since it is smaller than the sum of its proper divisors (2509689546).

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

1463967414 is a wasteful number, since it uses less digits than its factorization.

1463967414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127714 (or 127704 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 1463967414 is about 38261.8271126720. The cubic root of 1463967414 is about 1135.4738495106.

The spelling of 1463967414 in words is "one billion, four hundred sixty-three million, nine hundred sixty-seven thousand, four hundred fourteen".