463712520 has 64 divisors (see below), whose sum is σ = 1393614720. Its totient is φ = 123436544.

The previous prime is 463712503. The next prime is 463712521. The reversal of 463712520 is 25217364.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (463712521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70909 + ... + 77171.

It is an arithmetic number, because the mean of its divisors is an integer number (21775230).

Almost surely, 2^463712520 is an apocalyptic number.

463712520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463712520 is an abundant number, since it is smaller than the sum of its proper divisors (929902200).

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

463712520 is a wasteful number, since it uses less digits than its factorization.

463712520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6894 (or 6890 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 463712520 is about 21533.9852326503. The cubic root of 463712520 is about 774.0154100919.

Adding to 463712520 its reverse (25217364), we get a palindrome (488929884).

The spelling of 463712520 in words is "four hundred sixty-three million, seven hundred twelve thousand, five hundred twenty".