463132320 has 384 divisors, whose sum is σ = 1778112000. Its totient is φ = 101154816.

The previous prime is 463132213. The next prime is 463132331. The reversal of 463132320 is 23231364.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4774512 + ... + 4774608.

It is an arithmetic number, because the mean of its divisors is an integer number (4630500).

Almost surely, 2^463132320 is an apocalyptic number.

463132320 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 463132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889056000).

463132320 is an abundant number, since it is smaller than the sum of its proper divisors (1314979680).

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

463132320 is a wasteful number, since it uses less digits than its factorization.

463132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 463132320 is about 21520.5092876540. The cubic root of 463132320 is about 773.6924577233.

Adding to 463132320 its reverse (23231364), we get a palindrome (486363684).

The spelling of 463132320 in words is "four hundred sixty-three million, one hundred thirty-two thousand, three hundred twenty".