480957309 has 12 divisors (see below), whose sum is σ = 793961376. Its totient is φ = 274832712.

The previous prime is 480957307. The next prime is 480957313. The reversal of 480957309 is 903759084.

It is not a de Polignac number, because 480957309 - 2¹ = 480957307 is a prime.

It is a super-3 number, since 3×480957309³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480957307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3817059 + ... + 3817184.

It is an arithmetic number, because the mean of its divisors is an integer number (66163448).

Almost surely, 2^480957309 is an apocalyptic number.

It is an amenable number.

480957309 is a deficient number, since it is larger than the sum of its proper divisors (313004067).

480957309 is a wasteful number, since it uses less digits than its factorization.

480957309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7634256 (or 7634253 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 480957309 is about 21930.7389068403. The cubic root of 480957309 is about 783.4937017470.

The spelling of 480957309 in words is "four hundred eighty million, nine hundred fifty-seven thousand, three hundred nine".