860001408 has 256 divisors, whose sum is σ = 3055104000. Its totient is φ = 232657920.

The previous prime is 860001391. The next prime is 860001449. The reversal of 860001408 is 804100068.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 458713 + ... + 460583.

It is an arithmetic number, because the mean of its divisors is an integer number (11934000).

Almost surely, 2^860001408 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 860001408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527552000).

860001408 is an abundant number, since it is smaller than the sum of its proper divisors (2195102592).

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

860001408 is a wasteful number, since it uses less digits than its factorization.

860001408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 860001408 is about 29325.7806034213. The cubic root of 860001408 is about 950.9690602837.

The spelling of 860001408 in words is "eight hundred sixty million, one thousand, four hundred eight".