1463634414 has 128 divisors (see below), whose sum is σ = 3781416960. Its totient is φ = 414720000.

The previous prime is 1463634377. The next prime is 1463634433. The reversal of 1463634414 is 4144363641.

1463634414 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 634 + 4 + 14 = 666.

It is a super-3 number, since 3×1463634414³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1948539 + ... + 1949289.

It is an arithmetic number, because the mean of its divisors is an integer number (29542320).

Almost surely, 2^1463634414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1463634414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890708480).

1463634414 is an abundant number, since it is smaller than the sum of its proper divisors (2317782546).

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

1463634414 is a wasteful number, since it uses less digits than its factorization.

1463634414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 977 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 1463634414 is about 38257.4752695470. The cubic root of 1463634414 is about 1135.3877498108.

The spelling of 1463634414 in words is "one billion, four hundred sixty-three million, six hundred thirty-four thousand, four hundred fourteen".