480615601 has 8 divisors (see below), whose sum is σ = 492189984. Its totient is φ = 469059360.

The previous prime is 480615587. The next prime is 480615623. The reversal of 480615601 is 106516084.

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 480615601 - 2²⁵ = 447061169 is a prime.

It is a super-3 number, since 3×480615601³ (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 (480615691) 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, 59910 + ... + 67456.

It is an arithmetic number, because the mean of its divisors is an integer number (61523748).

Almost surely, 2^480615601 is an apocalyptic number.

It is an amenable number.

480615601 is a deficient number, since it is larger than the sum of its proper divisors (11574383).

480615601 is a wasteful number, since it uses less digits than its factorization.

480615601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9071.

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 480615601 is about 21922.9469050126. The cubic root of 480615601 is about 783.3081069689.

The spelling of 480615601 in words is "four hundred eighty million, six hundred fifteen thousand, six hundred one".