463110400 has 81 divisors (see below), whose sum is σ = 1150547671. Its totient is φ = 184555520.

The previous prime is 463110383. The next prime is 463110407. The reversal of 463110400 is 4011364.

It is a happy number.

The square root of 463110400 is 21520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 177635584 + 285474816 = 13328^2 + 16896^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (463110407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1721466 + ... + 1721734.

Almost surely, 2^463110400 is an apocalyptic number.

463110400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

463110400 is the 21520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463110400

463110400 is an abundant number, since it is smaller than the sum of its proper divisors (687437271).

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

463110400 is an frugal number, since it uses more digits than its factorization.

463110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The cubic root of 463110400 is about 773.6802512720.

Adding to 463110400 its reverse (4011364), we get a palindrome (467121764).

The spelling of 463110400 in words is "four hundred sixty-three million, one hundred ten thousand, four hundred".