463632120 has 192 divisors, whose sum is σ = 1797962400. Its totient is φ = 105960960.

The previous prime is 463632101. The next prime is 463632121. The reversal of 463632120 is 21236364.

463632120 is a `hidden beast` number, since 4 + 6 + 3 + 632 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463632121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48540 + ... + 57300.

Almost surely, 2^463632120 is an apocalyptic number.

463632120 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 463632120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898981200).

463632120 is an abundant number, since it is smaller than the sum of its proper divisors (1334330280).

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

463632120 is a wasteful number, since it uses less digits than its factorization.

463632120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8795 (or 8778 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 463632120 is about 21532.1183351755. The cubic root of 463632120 is about 773.9706737281.

Adding to 463632120 its reverse (21236364), we get a palindrome (484868484).

The spelling of 463632120 in words is "four hundred sixty-three million, six hundred thirty-two thousand, one hundred twenty".