4609052100 has 243 divisors, whose sum is σ = 15135169959. Its totient is φ = 1173139200.

The previous prime is 4609052081. The next prime is 4609052159. The reversal of 4609052100 is 12509064.

The square root of 4609052100 is 67890.

It is a perfect power (a square), and thus also a powerful number.

4609052100 is a `hidden beast` number, since 4 + 609 + 0 + 52 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25220484 + 4583831616 = 5022^2 + 67704^2 .

It is a super-2 number, since 2×4609052100² = 42486722521028820000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 63137664 + ... + 63137736.

Almost surely, 2^4609052100 is an apocalyptic number.

4609052100 is the 67890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4609052100

4609052100 is an abundant number, since it is smaller than the sum of its proper divisors (10526117859).

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

4609052100 is a wasteful number, since it uses less digits than its factorization.

4609052100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The cubic root of 4609052100 is about 1664.1936955743.

The spelling of 4609052100 in words is "four billion, six hundred nine million, fifty-two thousand, one hundred".