43484760900 has 405 divisors, whose sum is σ = 164471248557. Its totient is φ = 9909345600.

The previous prime is 43484760841. The next prime is 43484760923. The reversal of 43484760900 is 906748434.

The square root of 43484760900 is 208530.

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

43484760900 is a `hidden beast` number, since 4 + 34 + 8 + 4 + 7 + 609 + 0 + 0 = 666.

43484760900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 15654513924 + 27830246976 = 125118^2 + 166824^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 131373735 + ... + 131374065.

Almost surely, 2^43484760900 is an apocalyptic number.

43484760900 is the 208530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43484760900

43484760900 is an abundant number, since it is smaller than the sum of its proper divisors (120986487657).

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

43484760900 is a wasteful number, since it uses less digits than its factorization.

43484760900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 43484760900 in words is "forty-three billion, four hundred eighty-four million, seven hundred sixty thousand, nine hundred".