463345600 has 84 divisors (see below), whose sum is σ = 1156029184. Its totient is φ = 182753280.

The previous prime is 463345579. The next prime is 463345601. The reversal of 463345600 is 6543364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463345601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114817 + ... + 118783.

Almost surely, 2^463345600 is an apocalyptic number.

463345600 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 463345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578014592).

463345600 is an abundant number, since it is smaller than the sum of its proper divisors (692683584).

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

463345600 is a wasteful number, since it uses less digits than its factorization.

463345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4062 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 463345600 is about 21525.4639903534. The cubic root of 463345600 is about 773.8112055025.

Adding to 463345600 its reverse (6543364), we get a palindrome (469888964).

The spelling of 463345600 in words is "four hundred sixty-three million, three hundred forty-five thousand, six hundred".