463242624 has 128 divisors (see below), whose sum is σ = 1344833280. Its totient is φ = 140421120.

The previous prime is 463242617. The next prime is 463242683. The reversal of 463242624 is 426242364.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353779 + ... + 355085.

It is an arithmetic number, because the mean of its divisors is an integer number (10506510).

Almost surely, 2^463242624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463242624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672416640).

463242624 is an abundant number, since it is smaller than the sum of its proper divisors (881590656).

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

463242624 is a wasteful number, since it uses less digits than its factorization.

463242624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1396 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

The square root of 463242624 is about 21523.0718997080. The cubic root of 463242624 is about 773.7538761667.

Adding to 463242624 its reverse (426242364), we get a palindrome (889484988).

The spelling of 463242624 in words is "four hundred sixty-three million, two hundred forty-two thousand, six hundred twenty-four".