4646852000 has 192 divisors, whose sum is σ = 13248458496. Its totient is φ = 1568793600.

The previous prime is 4646851997. The next prime is 4646852047. The reversal of 4646852000 is 2586464.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1874762 + ... + 1877238.

It is an arithmetic number, because the mean of its divisors is an integer number (69002388).

Almost surely, 2^4646852000 is an apocalyptic number.

4646852000 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 4646852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6624229248).

4646852000 is an abundant number, since it is smaller than the sum of its proper divisors (8601606496).

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

4646852000 is a wasteful number, since it uses less digits than its factorization.

4646852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 4646852000 is about 68167.8223210922. The cubic root of 4646852000 is about 1668.7307936836.

The spelling of 4646852000 in words is "four billion, six hundred forty-six million, eight hundred fifty-two thousand".