480200292 has 384 divisors, whose sum is σ = 1625702400. Its totient is φ = 120268800.

The previous prime is 480200267. The next prime is 480200297. The reversal of 480200292 is 292002084.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (480200297) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8138959 + ... + 8139017.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 2^480200292 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 480200292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812851200).

480200292 is an abundant number, since it is smaller than the sum of its proper divisors (1145502108).

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

480200292 is a wasteful number, since it uses less digits than its factorization.

480200292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 480200292 is about 21913.4728420668. The cubic root of 480200292 is about 783.0824181825.

The spelling of 480200292 in words is "four hundred eighty million, two hundred thousand, two hundred ninety-two".