480417757 has 8 divisors (see below), whose sum is σ = 496177920. Its totient is φ = 464674080.

The previous prime is 480417733. The next prime is 480417779. The reversal of 480417757 is 757714084.

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 480417757 - 2¹¹ = 480415709 is a prime.

It is a super-2 number, since 2×480417757² = 461602442481822098, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480417727) 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, 88473 + ... + 93745.

It is an arithmetic number, because the mean of its divisors is an integer number (62022240).

Almost surely, 2^480417757 is an apocalyptic number.

It is an amenable number.

480417757 is a deficient number, since it is larger than the sum of its proper divisors (15760163).

480417757 is a wasteful number, since it uses less digits than its factorization.

480417757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243.

The product of its (nonzero) digits is 219520, while the sum is 43.

The square root of 480417757 is about 21918.4341822129. The cubic root of 480417757 is about 783.2006100571.

The spelling of 480417757 in words is "four hundred eighty million, four hundred seventeen thousand, seven hundred fifty-seven".