480975030 has 64 divisors (see below), whose sum is σ = 1290401280. Its totient is φ = 127480032.

The previous prime is 480974993. The next prime is 480975041. The reversal of 480975030 is 30579084.

It is a super-3 number, since 3×480975030³ (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 31 ways as a sum of consecutive naturals, for example, 39757 + ... + 50423.

It is an arithmetic number, because the mean of its divisors is an integer number (20162520).

Almost surely, 2^480975030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480975030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645200640).

480975030 is an abundant number, since it is smaller than the sum of its proper divisors (809426250).

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

480975030 is a wasteful number, since it uses less digits than its factorization.

480975030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10850 (or 10844 counting only the distinct ones).

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

The square root of 480975030 is about 21931.1429250735. The cubic root of 480975030 is about 783.5033243068.

The spelling of 480975030 in words is "four hundred eighty million, nine hundred seventy-five thousand, thirty".