865480 has 64 divisors (see below), whose sum is σ = 2436480. Its totient is φ = 268800.

The previous prime is 865477. The next prime is 865481. The reversal of 865480 is 84568.

865480 = T₅₅ + T₅₆ + ... + T₁₇₄.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (865481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2940 + ... + 3220.

It is an arithmetic number, because the mean of its divisors is an integer number (38070).

2⁸⁶⁵⁴⁸⁰ 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 865480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218240).

865480 is an abundant number, since it is smaller than the sum of its proper divisors (1571000).

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

865480 is a wasteful number, since it uses less digits than its factorization.

865480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 865480 is about 930.3117756967. The cubic root of 865480 is about 95.2984152797.

The spelling of 865480 in words is "eight hundred sixty-five thousand, four hundred eighty".