900303038649 has 45 divisors (see below), whose sum is σ = 1564576056351. Its totient is φ = 514424720880.

The previous prime is 900303038623. The next prime is 900303038651. The reversal of 900303038649 is 946830303009.

The square root of 900303038649 is 948843.

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

It can be written as a sum of positive squares in only one way, i.e., 697965006249 + 202338032400 = 835443^2 + 449820^2 .

It is not a de Polignac number, because 900303038649 - 2⁷ = 900303038521 is a prime.

It is a super-2 number, since 2×900303038649² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (900303038689) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 59769579 + ... + 59784639.

Almost surely, 2^900303038649 is an apocalyptic number.

900303038649 is the 948843-rd square number.

900303038649 is the 474422-nd centered octagonal number.

It is an amenable number.

900303038649 is a deficient number, since it is larger than the sum of its proper divisors (664273017702).

900303038649 is an frugal number, since it uses more digits than its factorization.

900303038649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30148 (or 15071 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 900303038649 in words is "nine hundred billion, three hundred three million, thirty-eight thousand, six hundred forty-nine".