463507328 has 32 divisors (see below), whose sum is σ = 930696960. Its totient is φ = 229920768.

The previous prime is 463507321. The next prime is 463507351. The reversal of 463507328 is 823705364.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 463507291 and 463507300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463507321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2000 + ... + 30512.

It is an arithmetic number, because the mean of its divisors is an integer number (29084280).

Almost surely, 2^463507328 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 463507328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465348480).

463507328 is an abundant number, since it is smaller than the sum of its proper divisors (467189632).

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

463507328 is a wasteful number, since it uses less digits than its factorization.

463507328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28654 (or 28642 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 463507328 is about 21529.2203295893. The cubic root of 463507328 is about 773.9012264148.

The spelling of 463507328 in words is "four hundred sixty-three million, five hundred seven thousand, three hundred twenty-eight".