463033648 has 160 divisors (see below), whose sum is σ = 1194209280. Its totient is φ = 168480000.

The previous prime is 463033609. The next prime is 463033679. The reversal of 463033648 is 846330364.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3066373 + ... + 3066523.

It is an arithmetic number, because the mean of its divisors is an integer number (7463808).

Almost surely, 2^463033648 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 463033648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597104640).

463033648 is an abundant number, since it is smaller than the sum of its proper divisors (731175632).

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

463033648 is a wasteful number, since it uses less digits than its factorization.

463033648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

The square root of 463033648 is about 21518.2166547323. The cubic root of 463033648 is about 773.6375078374.

The spelling of 463033648 in words is "four hundred sixty-three million, thirty-three thousand, six hundred forty-eight".