480200337 has 12 divisors (see below), whose sum is σ = 695993844. Its totient is φ = 319039200.

The previous prime is 480200321. The next prime is 480200387. The reversal of 480200337 is 733002084.

It can be written as a sum of positive squares in 2 ways, for example, as 465523776 + 14676561 = 21576^2 + 3831^2 .

It is not a de Polignac number, because 480200337 - 2⁴ = 480200321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 480200337.

It is not an unprimeable number, because it can be changed into a prime (480200387) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88414 + ... + 93687.

It is an arithmetic number, because the mean of its divisors is an integer number (57999487).

Almost surely, 2^480200337 is an apocalyptic number.

It is an amenable number.

480200337 is a deficient number, since it is larger than the sum of its proper divisors (215793507).

480200337 is a wasteful number, since it uses less digits than its factorization.

480200337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182400 (or 182397 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 480200337 is about 21913.4738688324. The cubic root of 480200337 is about 783.0824426436.

The spelling of 480200337 in words is "four hundred eighty million, two hundred thousand, three hundred thirty-seven".