4813406208 has 420 divisors, whose sum is σ = 16044820288. Its totient is φ = 1433272320.

The previous prime is 4813406207. The next prime is 4813406219. The reversal of 4813406208 is 8026043184.

4813406208 is a `hidden beast` number, since 48 + 1 + 3 + 406 + 208 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4813406201) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 155271153 + ... + 155271183.

Almost surely, 2^4813406208 is an apocalyptic number.

4813406208 is a gapful number since it is divisible by the number (48) 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 4813406208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8022410144).

4813406208 is an abundant number, since it is smaller than the sum of its proper divisors (11231414080).

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

4813406208 is an frugal number, since it uses more digits than its factorization.

4813406208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 49 counting only the distinct ones).

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

The square root of 4813406208 is about 69378.7158140016. The cubic root of 4813406208 is about 1688.4343199319.

The spelling of 4813406208 in words is "four billion, eight hundred thirteen million, four hundred six thousand, two hundred eight".