480667527 has 20 divisors (see below), whose sum is σ = 720366240. Its totient is φ = 319404384.

The previous prime is 480667507. The next prime is 480667553. The reversal of 480667527 is 725766084.

It is not a de Polignac number, because 480667527 - 2²⁷ = 346449799 is a prime.

It is a super-3 number, since 3×480667527³ (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 (480667507) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15874 + ... + 34832.

It is an arithmetic number, because the mean of its divisors is an integer number (36018312).

Almost surely, 2^480667527 is an apocalyptic number.

480667527 is a deficient number, since it is larger than the sum of its proper divisors (239698713).

480667527 is a wasteful number, since it uses less digits than its factorization.

480667527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19284 (or 19275 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 480667527 is about 21924.1311572432. The cubic root of 480667527 is about 783.3363156468.

The spelling of 480667527 in words is "four hundred eighty million, six hundred sixty-seven thousand, five hundred twenty-seven".