463826800 has 60 divisors (see below), whose sum is σ = 1118834640. Its totient is φ = 184783360.

The previous prime is 463826777. The next prime is 463826801. The reversal of 463826800 is 8628364.

It is a self number, because there is not a number n which added to its sum of digits gives 463826800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463826801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102996 + ... + 107404.

It is an arithmetic number, because the mean of its divisors is an integer number (18647244).

Almost surely, 2^463826800 is an apocalyptic number.

463826800 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 463826800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559417320).

463826800 is an abundant number, since it is smaller than the sum of its proper divisors (655007840).

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

463826800 is a wasteful number, since it uses less digits than its factorization.

463826800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4690 (or 4679 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 463826800 is about 21536.6385492258. The cubic root of 463826800 is about 774.0789891499.

The spelling of 463826800 in words is "four hundred sixty-three million, eight hundred twenty-six thousand, eight hundred".