865393440 has 192 divisors, whose sum is σ = 2813045760. Its totient is φ = 223534080.

The previous prime is 865393439. The next prime is 865393457. The reversal of 865393440 is 44393568.

It is a junction number, because it is equal to n+sod(n) for n = 865393392 and 865393401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2283171 + ... + 2283549.

It is an arithmetic number, because the mean of its divisors is an integer number (14651280).

Almost surely, 2^865393440 is an apocalyptic number.

865393440 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 865393440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406522880).

865393440 is an abundant number, since it is smaller than the sum of its proper divisors (1947652320).

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

865393440 is a wasteful number, since it uses less digits than its factorization.

865393440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 865393440 is about 29417.5702599654. The cubic root of 865393440 is about 952.9523811946.

The spelling of 865393440 in words is "eight hundred sixty-five million, three hundred ninety-three thousand, four hundred forty".