463645000 has 160 divisors (see below), whose sum is σ = 1338321600. Its totient is φ = 146592000.

The previous prime is 463644997. The next prime is 463645001. The reversal of 463645000 is 546364.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 463645000.

It is not an unprimeable number, because it can be changed into a prime (463645001) 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 39 ways as a sum of consecutive naturals, for example, 454491 + ... + 455509.

It is an arithmetic number, because the mean of its divisors is an integer number (8364510).

Almost surely, 2^463645000 is an apocalyptic number.

463645000 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 463645000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669160800).

463645000 is an abundant number, since it is smaller than the sum of its proper divisors (874676600).

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

463645000 is a wasteful number, since it uses less digits than its factorization.

463645000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 463645000 is about 21532.4174211815. The cubic root of 463645000 is about 773.9778407970.

The spelling of 463645000 in words is "four hundred sixty-three million, six hundred forty-five thousand".