4646005000 has 160 divisors (see below), whose sum is σ = 13398960960. Its totient is φ = 1470240000.

The previous prime is 4646004983. The next prime is 4646005019. The reversal of 4646005000 is 5006464.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 39 ways as a sum of consecutive naturals, for example, 449895 + ... + 460105.

It is an arithmetic number, because the mean of its divisors is an integer number (83743506).

Almost surely, 2^4646005000 is an apocalyptic number.

4646005000 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 4646005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6699480480).

4646005000 is an abundant number, since it is smaller than the sum of its proper divisors (8752955960).

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

4646005000 is a wasteful number, since it uses less digits than its factorization.

4646005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10257 (or 10238 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 4646005000 is about 68161.6094293555. The cubic root of 4646005000 is about 1668.6293988133.

The spelling of 4646005000 in words is "four billion, six hundred forty-six million, five thousand".