480709577 has 8 divisors (see below), whose sum is σ = 483332640. Its totient is φ = 478094400.

The previous prime is 480709553. The next prime is 480709583. The reversal of 480709577 is 775907084.

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 480709577 - 2⁸ = 480709321 is a prime.

It is a super-3 number, since 3×480709577³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480709517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150398 + ... + 153560.

It is an arithmetic number, because the mean of its divisors is an integer number (60416580).

Almost surely, 2^480709577 is an apocalyptic number.

It is an amenable number.

480709577 is a deficient number, since it is larger than the sum of its proper divisors (2623063).

480709577 is a wasteful number, since it uses less digits than its factorization.

480709577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943.

The product of its (nonzero) digits is 493920, while the sum is 47.

The square root of 480709577 is about 21925.0901252424. The cubic root of 480709577 is about 783.3591577221.

The spelling of 480709577 in words is "four hundred eighty million, seven hundred nine thousand, five hundred seventy-seven".