463224000 has 112 divisors (see below), whose sum is σ = 1529644896. Its totient is φ = 123520000.

The previous prime is 463223987. The next prime is 463224017. The reversal of 463224000 is 422364.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14350 + ... + 33650.

Almost surely, 2^463224000 is an apocalyptic number.

463224000 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 463224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764822448).

463224000 is an abundant number, since it is smaller than the sum of its proper divisors (1066420896).

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

463224000 is a wasteful number, since it uses less digits than its factorization.

463224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19331 (or 19311 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 463224000 is about 21522.6392433642. The cubic root of 463224000 is about 773.7435068090.

Adding to 463224000 its reverse (422364), we get a palindrome (463646364).

The spelling of 463224000 in words is "four hundred sixty-three million, two hundred twenty-four thousand".