4646100440 has 64 divisors (see below), whose sum is σ = 10828900800. Its totient is φ = 1791917568.

The previous prime is 4646100439. The next prime is 4646100451. The reversal of 4646100440 is 440016464.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1015037 + ... + 1019603.

It is an arithmetic number, because the mean of its divisors is an integer number (169201575).

Almost surely, 2^4646100440 is an apocalyptic number.

4646100440 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 4646100440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5414450400).

4646100440 is an abundant number, since it is smaller than the sum of its proper divisors (6182800360).

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

4646100440 is a wasteful number, since it uses less digits than its factorization.

4646100440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5484 (or 5480 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 4646100440 is about 68162.3095265998. The cubic root of 4646100440 is about 1668.6408246081.

The spelling of 4646100440 in words is "four billion, six hundred forty-six million, one hundred thousand, four hundred forty".