480753091 has 8 divisors (see below), whose sum is σ = 591696224. Its totient is φ = 380376000.

The previous prime is 480753059. The next prime is 480753103. The reversal of 480753091 is 190357084.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 480753091 - 2⁵ = 480753059 is a prime.

It is a super-3 number, since 3×480753091³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 480753091.

It is not an unprimeable number, because it can be changed into a prime (480753191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2641410 + ... + 2641591.

It is an arithmetic number, because the mean of its divisors is an integer number (73962028).

Almost surely, 2^480753091 is an apocalyptic number.

480753091 is a deficient number, since it is larger than the sum of its proper divisors (110943133).

480753091 is a wasteful number, since it uses less digits than its factorization.

480753091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5283021.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 480753091 is about 21926.0824362219. The cubic root of 480753091 is about 783.3827936578.

It can be divided in two parts, 480 and 753091, that added together give a cube (753571 = 91³).

The spelling of 480753091 in words is "four hundred eighty million, seven hundred fifty-three thousand, ninety-one".