463130624 has 104 divisors (see below), whose sum is σ = 1065485280. Its totient is φ = 199065600.

The previous prime is 463130623. The next prime is 463130659. The reversal of 463130624 is 426031364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463130623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 855794 + ... + 856334.

Almost surely, 2^463130624 is an apocalyptic number.

463130624 is a gapful number since it is divisible by the number (44) 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 463130624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532742640).

463130624 is an abundant number, since it is smaller than the sum of its proper divisors (602354656).

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

463130624 is a wasteful number, since it uses less digits than its factorization.

463130624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 463130624 is about 21520.4698833459. The cubic root of 463130624 is about 773.6915132963.

Adding to 463130624 its reverse (426031364), we get a palindrome (889161988).

The spelling of 463130624 in words is "four hundred sixty-three million, one hundred thirty thousand, six hundred twenty-four".