4805406720 has 468 divisors, whose sum is σ = 17807365056. Its totient is φ = 1197342720.

The previous prime is 4805406719. The next prime is 4805406733. The reversal of 4805406720 is 276045084.

4805406720 is a `hidden beast` number, since 48 + 0 + 540 + 6 + 72 + 0 = 666.

It is a super-3 number, since 3×4805406720³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 155013105 + ... + 155013135.

Almost surely, 2^4805406720 is an apocalyptic number.

4805406720 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 4805406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8903682528).

4805406720 is an abundant number, since it is smaller than the sum of its proper divisors (13001958336).

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

4805406720 is a wasteful number, since it uses less digits than its factorization.

4805406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4805406720 is about 69321.0409616013. The cubic root of 4805406720 is about 1687.4984546488.

The spelling of 4805406720 in words is "four billion, eight hundred five million, four hundred six thousand, seven hundred twenty".