646460100 has 216 divisors, whose sum is σ = 2381014272. Its totient is φ = 144633600.

The previous prime is 646460093. The next prime is 646460117. The reversal of 646460100 is 1064646.

646460100 is a `hidden beast` number, since 6 + 4 + 646 + 0 + 10 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 126189 + ... + 131211.

Almost surely, 2^646460100 is an apocalyptic number.

646460100 is a gapful number since it is divisible by the number (60) 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 646460100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190507136).

646460100 is an abundant number, since it is smaller than the sum of its proper divisors (1734554172).

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

646460100 is a wasteful number, since it uses less digits than its factorization.

646460100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5067 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 646460100 is about 25425.5796394104. The cubic root of 646460100 is about 864.6637293152.

It can be divided in two parts, 6464 and 60100, that added together give a square (66564 = 258²).

The spelling of 646460100 in words is "six hundred forty-six million, four hundred sixty thousand, one hundred".