463432020 has 192 divisors, whose sum is σ = 1408942080. Its totient is φ = 113587200.

The previous prime is 463432007. The next prime is 463432049. The reversal of 463432020 is 20234364.

It is a happy number.

It is a super-2 number, since 2×463432020² = 429538474322560800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4499289 + ... + 4499391.

It is an arithmetic number, because the mean of its divisors is an integer number (7338240).

Almost surely, 2^463432020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463432020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704471040).

463432020 is an abundant number, since it is smaller than the sum of its proper divisors (945510060).

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

463432020 is a wasteful number, since it uses less digits than its factorization.

463432020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 244 counting only the distinct ones).

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

The square root of 463432020 is about 21527.4712867071. The cubic root of 463432020 is about 773.8593111406.

Adding to 463432020 its reverse (20234364), we get a palindrome (483666384).

The spelling of 463432020 in words is "four hundred sixty-three million, four hundred thirty-two thousand, twenty".