463048320 has 256 divisors, whose sum is σ = 1706158080. Its totient is φ = 104632320.

The previous prime is 463048319. The next prime is 463048321. The reversal of 463048320 is 23840364.

It is an interprime number because it is at equal distance from previous prime (463048319) and next prime (463048321).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463048321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1760509 + ... + 1760771.

It is an arithmetic number, because the mean of its divisors is an integer number (6664680).

Almost surely, 2^463048320 is an apocalyptic number.

463048320 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 463048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853079040).

463048320 is an abundant number, since it is smaller than the sum of its proper divisors (1243109760).

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

463048320 is a wasteful number, since it uses less digits than its factorization.

463048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 463048320 is about 21518.5575724768. The cubic root of 463048320 is about 773.6456790863.

Adding to 463048320 its reverse (23840364), we get a palindrome (486888684).

The spelling of 463048320 in words is "four hundred sixty-three million, forty-eight thousand, three hundred twenty".