463400 has 48 divisors (see below), whose sum is σ = 1235040. Its totient is φ = 158400.

The previous prime is 463399. The next prime is 463433. The reversal of 463400 is 4364.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1235 + ... + 1565.

It is an arithmetic number, because the mean of its divisors is an integer number (25730).

2⁴⁶³⁴⁰⁰ is an apocalyptic number.

463400 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 463400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617520).

463400 is an abundant number, since it is smaller than the sum of its proper divisors (771640).

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

463400 is a wasteful number, since it uses less digits than its factorization.

463400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 463400 is about 680.7348970047. The cubic root of 463400 is about 77.3841487925.

Adding to 463400 its reverse (4364), we get a palindrome (467764).

The spelling of 463400 in words is "four hundred sixty-three thousand, four hundred".