463152000 has 128 divisors (see below), whose sum is σ = 1535508000. Its totient is φ = 123494400.

The previous prime is 463151987. The next prime is 463152007. The reversal of 463152000 is 251364.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463152007) 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 15 ways as a sum of consecutive naturals, for example, 43176 + ... + 52824.

Almost surely, 2^463152000 is an apocalyptic number.

463152000 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 463152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767754000).

463152000 is an abundant number, since it is smaller than the sum of its proper divisors (1072356000).

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

463152000 is an equidigital number, since it uses as much as digits as its factorization.

463152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9681 (or 9659 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 463152000 is about 21520.9665210464. The cubic root of 463152000 is about 773.7034164718.

The spelling of 463152000 in words is "four hundred sixty-three million, one hundred fifty-two thousand".