463400000 has 168 divisors, whose sum is σ = 1317540672. Its totient is φ = 158400000.

The previous prime is 463399969. The next prime is 463400009. The reversal of 463400000 is 4364.

It is not an unprimeable number, because it can be changed into a prime (463400009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1399835 + ... + 1400165.

It is an arithmetic number, because the mean of its divisors is an integer number (7842504).

Almost surely, 2^463400000 is an apocalyptic number.

463400000 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 463400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658770336).

463400000 is an abundant number, since it is smaller than the sum of its proper divisors (854140672).

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

463400000 is an frugal number, since it uses more digits than its factorization.

463400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 345 counting only the distinct ones).

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

The square root of 463400000 is about 21526.7275729499. The cubic root of 463400000 is about 773.8414879254.

Adding to 463400000 its reverse (4364), we get a palindrome (463404364).

The spelling of 463400000 in words is "four hundred sixty-three million, four hundred thousand".