865414000 has 160 divisors (see below), whose sum is σ = 2307352320. Its totient is φ = 311328000.

The previous prime is 865413973. The next prime is 865414007. The reversal of 865414000 is 414568.

865414000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 865414000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (865414007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3057859 + ... + 3058141.

It is an arithmetic number, because the mean of its divisors is an integer number (14420952).

Almost surely, 2^865414000 is an apocalyptic number.

865414000 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 865414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153676160).

865414000 is an abundant number, since it is smaller than the sum of its proper divisors (1441938320).

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

865414000 is a wasteful number, since it uses less digits than its factorization.

865414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 865414000 is about 29417.9197089121. The cubic root of 865414000 is about 952.9599278761.

Adding to 865414000 its reverse (414568), we get a palindrome (865828568).

The spelling of 865414000 in words is "eight hundred sixty-five million, four hundred fourteen thousand".