463830000 has 100 divisors (see below), whose sum is σ = 1497401928. Its totient is φ = 123680000.

The previous prime is 463829987. The next prime is 463830011. The reversal of 463830000 is 38364.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22270 + ... + 37730.

Almost surely, 2^463830000 is an apocalyptic number.

463830000 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 463830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748700964).

463830000 is an abundant number, since it is smaller than the sum of its proper divisors (1033571928).

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

463830000 is a wasteful number, since it uses less digits than its factorization.

463830000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15492 (or 15471 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 463830000 is about 21536.7128411000. The cubic root of 463830000 is about 774.0807693022.

Adding to 463830000 its reverse (38364), we get a palindrome (463868364).

The spelling of 463830000 in words is "four hundred sixty-three million, eight hundred thirty thousand".