480753090 has 64 divisors (see below), whose sum is σ = 1285632000. Its totient is φ = 127838592.

The previous prime is 480753059. The next prime is 480753103. The reversal of 480753090 is 90357084.

It is a super-3 number, since 3×480753090³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101086 + ... + 105734.

It is an arithmetic number, because the mean of its divisors is an integer number (20088000).

Almost surely, 2^480753090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480753090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642816000).

480753090 is an abundant number, since it is smaller than the sum of its proper divisors (804878910).

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

480753090 is a wasteful number, since it uses less digits than its factorization.

480753090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048 (or 5042 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 480753090 is about 21926.0824134180. The cubic root of 480753090 is about 783.3827931147.

The spelling of 480753090 in words is "four hundred eighty million, seven hundred fifty-three thousand, ninety".