4656201000 has 384 divisors, whose sum is σ = 16253153280. Its totient is φ = 1108800000.

The previous prime is 4656200929. The next prime is 4656201001. The reversal of 4656201000 is 1026564.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4656201001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36662937 + ... + 36663063.

It is an arithmetic number, because the mean of its divisors is an integer number (42325920).

Almost surely, 2^4656201000 is an apocalyptic number.

4656201000 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 4656201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8126576640).

4656201000 is an abundant number, since it is smaller than the sum of its proper divisors (11596952280).

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

4656201000 is a wasteful number, since it uses less digits than its factorization.

4656201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 4656201000 is about 68236.3612746166. The cubic root of 4656201000 is about 1669.8491503218.

Adding to 4656201000 its reverse (1026564), we get a palindrome (4657227564).

The spelling of 4656201000 in words is "four billion, six hundred fifty-six million, two hundred one thousand".