1463434016 has 72 divisors (see below), whose sum is σ = 3189114432. Its totient is φ = 660528000.

The previous prime is 1463434013. The next prime is 1463434043. The reversal of 1463434016 is 6104343641.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1463434013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 583421 + ... + 585923.

It is an arithmetic number, because the mean of its divisors is an integer number (44293256).

Almost surely, 2^1463434016 is an apocalyptic number.

1463434016 is a gapful number since it is divisible by the number (16) 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 1463434016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594557216).

1463434016 is an abundant number, since it is smaller than the sum of its proper divisors (1725680416).

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

1463434016 is a wasteful number, since it uses less digits than its factorization.

1463434016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 1463434016 is about 38254.8561100418. The cubic root of 1463434016 is about 1135.3359290790.

Adding to 1463434016 its reverse (6104343641), we get a palindrome (7567777657).

The spelling of 1463434016 in words is "one billion, four hundred sixty-three million, four hundred thirty-four thousand, sixteen".