4806547200 has 972 divisors, whose sum is σ = 21692158488. Its totient is φ = 1006387200.

The previous prime is 4806547189. The next prime is 4806547247. The reversal of 4806547200 is 27456084.

It is a super-3 number, since 3×4806547200³ (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 36691135 + ... + 36691265.

Almost surely, 2^4806547200 is an apocalyptic number.

4806547200 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 4806547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10846079244).

4806547200 is an abundant number, since it is smaller than the sum of its proper divisors (16885611288).

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

4806547200 is a wasteful number, since it uses less digits than its factorization.

4806547200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 161 counting only the distinct ones).

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

The square root of 4806547200 is about 69329.2665473969. The cubic root of 4806547200 is about 1687.6319435927.

The spelling of 4806547200 in words is "four billion, eight hundred six million, five hundred forty-seven thousand, two hundred".