463478920 has 32 divisors (see below), whose sum is σ = 1043775000. Its totient is φ = 185223168.

The previous prime is 463478887. The next prime is 463478921. The reversal of 463478920 is 29874364.

It can be written as a sum of positive squares in 4 ways, for example, as 412983684 + 50495236 = 20322^2 + 7106^2 .

It is not an unprimeable number, because it can be changed into a prime (463478921) 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, 45322 + ... + 54598.

Almost surely, 2^463478920 is an apocalyptic number.

463478920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463478920 is an abundant number, since it is smaller than the sum of its proper divisors (580296080).

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

463478920 is a wasteful number, since it uses less digits than its factorization.

463478920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10537 (or 10533 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 463478920 is about 21528.5605649797. The cubic root of 463478920 is about 773.8854154924.

The spelling of 463478920 in words is "four hundred sixty-three million, four hundred seventy-eight thousand, nine hundred twenty".