463823820 has 144 divisors (see below), whose sum is σ = 1536138240. Its totient is φ = 117153216.

The previous prime is 463823813. The next prime is 463823821. The reversal of 463823820 is 28328364.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (463823821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89829 + ... + 94851.

Almost surely, 2^463823820 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 463823820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768069120).

463823820 is an abundant number, since it is smaller than the sum of its proper divisors (1072314420).

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

463823820 is a wasteful number, since it uses less digits than its factorization.

463823820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5066 (or 5052 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 463823820 is about 21536.5693646876. The cubic root of 463823820 is about 774.0773313757.

The spelling of 463823820 in words is "four hundred sixty-three million, eight hundred twenty-three thousand, eight hundred twenty".