4606978200 has 576 divisors, whose sum is σ = 17098905600. Its totient is φ = 1022208000.

The previous prime is 4606978171. The next prime is 4606978273. The reversal of 4606978200 is 28796064.

It is a super-3 number, since 3×4606978200³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51763756 + ... + 51763844.

It is an arithmetic number, because the mean of its divisors is an integer number (29685600).

Almost surely, 2^4606978200 is an apocalyptic number.

4606978200 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 4606978200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8549452800).

4606978200 is an abundant number, since it is smaller than the sum of its proper divisors (12491927400).

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

4606978200 is a wasteful number, since it uses less digits than its factorization.

4606978200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 4606978200 is about 67874.7243088324. The cubic root of 4606978200 is about 1663.9440499478.

The spelling of 4606978200 in words is "four billion, six hundred six million, nine hundred seventy-eight thousand, two hundred".