4646100 has 72 divisors (see below), whose sum is σ = 14249088. Its totient is φ = 1164800.

The previous prime is 4646099. The next prime is 4646111. The reversal of 4646100 is 16464.

4646100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4645 + ... + 5555.

It is an arithmetic number, because the mean of its divisors is an integer number (197904).

Almost surely, 2^4646100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4646100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124544).

4646100 is an abundant number, since it is smaller than the sum of its proper divisors (9602988).

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

4646100 is a wasteful number, since it uses less digits than its factorization.

4646100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4646100 is about 2155.4813847491. The cubic root of 4646100 is about 166.8640771933.

Adding to 4646100 its product of nonzero digits (576), we get a triangular number (4646676 = T₃₀₄₈).

The spelling of 4646100 in words is "four million, six hundred forty-six thousand, one hundred".