863466240 has 432 divisors, whose sum is σ = 3464481888. Its totient is φ = 181665792.

The previous prime is 863466221. The next prime is 863466259. The reversal of 863466240 is 42664368.

863466240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (863466221) and next prime (863466259).

It is a super-3 number, since 3×863466240³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2445904 + ... + 2446256.

It is an arithmetic number, because the mean of its divisors is an integer number (8019634).

Almost surely, 2^863466240 is an apocalyptic number.

863466240 is a gapful number since it is divisible by the number (80) 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 863466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732240944).

863466240 is an abundant number, since it is smaller than the sum of its proper divisors (2601015648).

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

863466240 is a wasteful number, since it uses less digits than its factorization.

863466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 863466240 is about 29384.7960687155. The cubic root of 863466240 is about 952.2444585595.

The spelling of 863466240 in words is "eight hundred sixty-three million, four hundred sixty-six thousand, two hundred forty".