463012672 has 112 divisors (see below), whose sum is σ = 1021567680. Its totient is φ = 207360000.

The previous prime is 463012643. The next prime is 463012681. The reversal of 463012672 is 276210364.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1844547 + ... + 1844797.

It is an arithmetic number, because the mean of its divisors is an integer number (9121140).

Almost surely, 2^463012672 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 463012672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510783840).

463012672 is an abundant number, since it is smaller than the sum of its proper divisors (558555008).

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

463012672 is a wasteful number, since it uses less digits than its factorization.

463012672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 463012672 is about 21517.7292482269. The cubic root of 463012672 is about 773.6258254139.

The spelling of 463012672 in words is "four hundred sixty-three million, twelve thousand, six hundred seventy-two".