463314000 has 160 divisors (see below), whose sum is σ = 1534830336. Its totient is φ = 120153600.

The previous prime is 463313987. The next prime is 463314013. The reversal of 463314000 is 413364.

It is an interprime number because it is at equal distance from previous prime (463313987) and next prime (463314013).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220957 + ... + 223043.

Almost surely, 2^463314000 is an apocalyptic number.

463314000 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 463314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767415168).

463314000 is an abundant number, since it is smaller than the sum of its proper divisors (1071516336).

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

463314000 is a wasteful number, since it uses less digits than its factorization.

463314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 463314000 is about 21524.7299634630. The cubic root of 463314000 is about 773.7936138891.

Adding to 463314000 its reverse (413364), we get a palindrome (463727364).

The spelling of 463314000 in words is "four hundred sixty-three million, three hundred fourteen thousand".