463024320 has 224 divisors, whose sum is σ = 1619585280. Its totient is φ = 111144960.

The previous prime is 463024313. The next prime is 463024321. The reversal of 463024320 is 23420364.

It is a happy number.

It is a super-2 number, since 2×463024320² = 428783041822924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463024321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1721146 + ... + 1721414.

Almost surely, 2^463024320 is an apocalyptic number.

463024320 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 463024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809792640).

463024320 is an abundant number, since it is smaller than the sum of its proper divisors (1156560960).

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

463024320 is a wasteful number, since it uses less digits than its factorization.

463024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 463024320 is about 21517.9999070546. Note that the first 4 decimals coincide. The cubic root of 463024320 is about 773.6323127224.

Adding to 463024320 its reverse (23420364), we get a palindrome (486444684).

The spelling of 463024320 in words is "four hundred sixty-three million, twenty-four thousand, three hundred twenty".