463840900 has 36 divisors (see below), whose sum is σ = 1013911668. Its totient is φ = 184176640.

The previous prime is 463840873. The next prime is 463840963. The reversal of 463840900 is 9048364.

It can be written as a sum of positive squares in 6 ways, for example, as 37748736 + 426092164 = 6144^2 + 20642^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3229 + ... + 30628.

It is an arithmetic number, because the mean of its divisors is an integer number (28164213).

Almost surely, 2^463840900 is an apocalyptic number.

It is an amenable number.

463840900 is an abundant number, since it is smaller than the sum of its proper divisors (550070768).

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

463840900 is a wasteful number, since it uses less digits than its factorization.

463840900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34008 (or 34001 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 463840900 is about 21536.9658958731. The cubic root of 463840900 is about 774.0868328846.

The spelling of 463840900 in words is "four hundred sixty-three million, eight hundred forty thousand, nine hundred".