480200292000 has 3072 divisors, whose sum is σ = 2282486169600. Its totient is φ = 96215040000.

The previous prime is 480200291981. The next prime is 480200292023. The reversal of 480200292000 is 292002084.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 8138987971 + ... + 8138988029.

It is an arithmetic number, because the mean of its divisors is an integer number (742996800).

Almost surely, 2^480200292000 is an apocalyptic number.

480200292000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480200292000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141243084800).

480200292000 is an abundant number, since it is smaller than the sum of its proper divisors (1802285877600).

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

480200292000 is a wasteful number, since it uses less digits than its factorization.

480200292000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 141 counting only the distinct ones).

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

Adding to 480200292000 its reverse (292002084), we get a palindrome (480492294084).

The spelling of 480200292000 in words is "four hundred eighty billion, two hundred million, two hundred ninety-two thousand".