4462783000900 has 243 divisors, whose sum is σ = 11414731142871. Its totient is φ = 1510070244480.

The previous prime is 4462783000877. The next prime is 4462783000901. The reversal of 4462783000900 is 90003872644.

The square root of 4462783000900 is 2112530.

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

It can be written as a sum of positive squares in 4 ways, for example, as 706752950596 + 3756030050304 = 840686^2 + 1938048^2 .

It is a super-2 number, since 2×4462783000900² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4462783000901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15231341154 + ... + 15231341446.

Almost surely, 2^{4462783000900} is an apocalyptic number.

4462783000900 is the 2112530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4462783000900

4462783000900 is an abundant number, since it is smaller than the sum of its proper divisors (6951948141971).

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

4462783000900 is a wasteful number, since it uses less digits than its factorization.

4462783000900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 4462783000900 in words is "four trillion, four hundred sixty-two billion, seven hundred eighty-three million, nine hundred", and thus it is an aban number.