900335299600 has 405 divisors, whose sum is σ = 2520397845021. Its totient is φ = 308796998400.

The previous prime is 900335299571. The next prime is 900335299607. The reversal of 900335299600 is 6992533009.

It is a happy number.

The square root of 900335299600 is 948860.

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., 324120707856 + 576214591744 = 569316^2 + 759088^2 .

It is not an unprimeable number, because it can be changed into a prime (900335299607) 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, 3966234687 + ... + 3966234913.

Almost surely, 2^900335299600 is an apocalyptic number.

900335299600 is the 948860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900335299600

900335299600 is an abundant number, since it is smaller than the sum of its proper divisors (1620062545421).

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

900335299600 is a wasteful number, since it uses less digits than its factorization.

900335299600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 46.

The spelling of 900335299600 in words is "nine hundred billion, three hundred thirty-five million, two hundred ninety-nine thousand, six hundred".