463505920 has 80 divisors (see below), whose sum is σ = 1116723168. Its totient is φ = 184504320.

The previous prime is 463505909. The next prime is 463505923. The reversal of 463505920 is 29505364.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (463505923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 847087 + ... + 847633.

Almost surely, 2^463505920 is an apocalyptic number.

463505920 is a gapful number since it is divisible by the number (40) 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 463505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558361584).

463505920 is an abundant number, since it is smaller than the sum of its proper divisors (653217248).

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

463505920 is an equidigital number, since it uses as much as digits as its factorization.

463505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 463505920 is about 21529.1876298201. The cubic root of 463505920 is about 773.9004427853.

The spelling of 463505920 in words is "four hundred sixty-three million, five hundred five thousand, nine hundred twenty".