463907200 has 96 divisors (see below), whose sum is σ = 1185750000. Its totient is φ = 179128320.

The previous prime is 463907131. The next prime is 463907207. The reversal of 463907200 is 2709364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463907207) 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 11 ways as a sum of consecutive naturals, for example, 90301 + ... + 95299.

Almost surely, 2^463907200 is an apocalyptic number.

463907200 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 463907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592875000).

463907200 is an abundant number, since it is smaller than the sum of its proper divisors (721842800).

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

463907200 is a wasteful number, since it uses less digits than its factorization.

463907200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5052 (or 5035 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 463907200 is about 21538.5050549011. The cubic root of 463907200 is about 774.1237129959.

The spelling of 463907200 in words is "four hundred sixty-three million, nine hundred seven thousand, two hundred".