480830286090 has 384 divisors, whose sum is σ = 1496707559424. Its totient is φ = 96036710400.

The previous prime is 480830286089. The next prime is 480830286113. The reversal of 480830286090 is 90682038084.

It is a happy number.

It is a super-3 number, since 3×480830286090³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 370724322 + ... + 370725618.

It is an arithmetic number, because the mean of its divisors is an integer number (3897675936).

Almost surely, 2^480830286090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480830286090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748353779712).

480830286090 is an abundant number, since it is smaller than the sum of its proper divisors (1015877273334).

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

480830286090 is a wasteful number, since it uses less digits than its factorization.

480830286090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 480830286090 in words is "four hundred eighty billion, eight hundred thirty million, two hundred eighty-six thousand, ninety".