463212000 has 192 divisors, whose sum is σ = 1686484800. Its totient is φ = 123494400.

The previous prime is 463211999. The next prime is 463212007. The reversal of 463212000 is 212364.

It is a happy number.

463212000 is a `hidden beast` number, since 463 + 2 + 1 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463212007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105856 + ... + 110144.

It is an arithmetic number, because the mean of its divisors is an integer number (8783775).

Almost surely, 2^463212000 is an apocalyptic number.

463212000 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 463212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843242400).

463212000 is an abundant number, since it is smaller than the sum of its proper divisors (1223272800).

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

463212000 is a wasteful number, since it uses less digits than its factorization.

463212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4323 (or 4299 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 463212000 is about 21522.3604653393. The cubic root of 463212000 is about 773.7368253747.

Adding to 463212000 its reverse (212364), we get a palindrome (463424364).

The spelling of 463212000 in words is "four hundred sixty-three million, two hundred twelve thousand".