457200604900 has 144 divisors (see below), whose sum is σ = 1109301031440. Its totient is φ = 162399283200.

The previous prime is 457200604897. The next prime is 457200604919. The reversal of 457200604900 is 9406002754.

It can be written as a sum of positive squares in 24 ways, for example, as 299970908416 + 157229696484 = 547696^2 + 396522^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 457200604900.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10421010 + ... + 10464790.

It is an arithmetic number, because the mean of its divisors is an integer number (7703479385).

Almost surely, 2^457200604900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457200604900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554650515720).

457200604900 is an abundant number, since it is smaller than the sum of its proper divisors (652100426540).

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

457200604900 is a wasteful number, since it uses less digits than its factorization.

457200604900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44114 (or 44107 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 457200604900 in words is "four hundred fifty-seven billion, two hundred million, six hundred four thousand, nine hundred".