480928890 has 96 divisors (see below), whose sum is σ = 1269797760. Its totient is φ = 115884288.

The previous prime is 480928879. The next prime is 480928949. The reversal of 480928890 is 98829084.

It is a super-3 number, since 3×480928890³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

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, 1095291 + ... + 1095729.

It is an arithmetic number, because the mean of its divisors is an integer number (13227060).

Almost surely, 2^480928890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480928890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634898880).

480928890 is an abundant number, since it is smaller than the sum of its proper divisors (788868870).

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

480928890 is a wasteful number, since it uses less digits than its factorization.

480928890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 480928890 is about 21930.0909710835. The cubic root of 480928890 is about 783.4782696455.

The spelling of 480928890 in words is "four hundred eighty million, nine hundred twenty-eight thousand, eight hundred ninety".