480735577 has 8 divisors (see below), whose sum is σ = 549912896. Its totient is φ = 411683472.

The previous prime is 480735559. The next prime is 480735613. The reversal of 480735577 is 775537084.

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 480735577 - 2¹⁵ = 480702809 is a prime.

It is a super-3 number, since 3×480735577³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480735517) 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, 22923 + ... + 38560.

It is an arithmetic number, because the mean of its divisors is an integer number (68739112).

Almost surely, 2^480735577 is an apocalyptic number.

It is an amenable number.

480735577 is a deficient number, since it is larger than the sum of its proper divisors (69177319).

480735577 is a wasteful number, since it uses less digits than its factorization.

480735577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62607.

The product of its (nonzero) digits is 823200, while the sum is 46.

The square root of 480735577 is about 21925.6830452326. The cubic root of 480735577 is about 783.3732805743.

The spelling of 480735577 in words is "four hundred eighty million, seven hundred thirty-five thousand, five hundred seventy-seven".