863465220 has 72 divisors (see below), whose sum is σ = 2638097280. Its totient is φ = 228594240.

The previous prime is 863465219. The next prime is 863465221. The reversal of 863465220 is 22564368.

It is an interprime number because it is at equal distance from previous prime (863465219) and next prime (863465221).

It is a super-2 number, since 2×863465220² = 1491144372299296800, which contains 22 as substring.

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 (863465221) 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 23 ways as a sum of consecutive naturals, for example, 7765 + ... + 42275.

It is an arithmetic number, because the mean of its divisors is an integer number (36640240).

Almost surely, 2^863465220 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 863465220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319048640).

863465220 is an abundant number, since it is smaller than the sum of its proper divisors (1774632060).

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

863465220 is a wasteful number, since it uses less digits than its factorization.

863465220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34665 (or 34660 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 863465220 is about 29384.7787127962. The cubic root of 863465220 is about 952.2440836019.

The spelling of 863465220 in words is "eight hundred sixty-three million, four hundred sixty-five thousand, two hundred twenty".