4886406000 has 800 divisors, whose sum is σ = 20971991040. Its totient is φ = 1073088000.

The previous prime is 4886405987. The next prime is 4886406001. The reversal of 4886406000 is 6046884.

4886406000 is a `hidden beast` number, since 4 + 8 + 8 + 6 + 40 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4886406001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35153931 + ... + 35154069.

Almost surely, 2^4886406000 is an apocalyptic number.

4886406000 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 4886406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10485995520).

4886406000 is an abundant number, since it is smaller than the sum of its proper divisors (16085585040).

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

4886406000 is a wasteful number, since it uses less digits than its factorization.

4886406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4886406000 is about 69902.8325606338. The cubic root of 4886406000 is about 1696.9270900648.

The spelling of 4886406000 in words is "four billion, eight hundred eighty-six million, four hundred six thousand".