463720320 has 576 divisors, whose sum is σ = 1959085440. Its totient is φ = 100638720.

The previous prime is 463720261. The next prime is 463720321. The reversal of 463720320 is 23027364.

463720320 is a `hidden beast` number, since 4 + 637 + 2 + 0 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463720321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8749414 + ... + 8749466.

It is an arithmetic number, because the mean of its divisors is an integer number (3401190).

Almost surely, 2^463720320 is an apocalyptic number.

463720320 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 463720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979542720).

463720320 is an abundant number, since it is smaller than the sum of its proper divisors (1495365120).

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

463720320 is a wasteful number, since it uses less digits than its factorization.

463720320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 463720320 is about 21534.1663409569. The cubic root of 463720320 is about 774.0197499117.

Adding to 463720320 its reverse (23027364), we get a palindrome (486747684).

The spelling of 463720320 in words is "four hundred sixty-three million, seven hundred twenty thousand, three hundred twenty".