4865406000 has 960 divisors, whose sum is σ = 20993656320. Its totient is φ = 958003200.

The previous prime is 4865405971. The next prime is 4865406151. The reversal of 4865406000 is 6045684.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72617967 + ... + 72618033.

It is an arithmetic number, because the mean of its divisors is an integer number (21868392).

Almost surely, 2^4865406000 is an apocalyptic number.

4865406000 is a gapful number since it is divisible by the number (40) 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 4865406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10496828160).

4865406000 is an abundant number, since it is smaller than the sum of its proper divisors (16128250320).

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

4865406000 is a wasteful number, since it uses less digits than its factorization.

4865406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 4865406000 is about 69752.4623221288. The cubic root of 4865406000 is about 1694.4926736748.

The spelling of 4865406000 in words is "four billion, eight hundred sixty-five million, four hundred six thousand".