480460519 has 16 divisors (see below), whose sum is σ = 604327680. Its totient is φ = 371064960.

The previous prime is 480460517. The next prime is 480460553. The reversal of 480460519 is 915064084.

It is a happy number.

It is not a de Polignac number, because 480460519 - 2¹ = 480460517 is a prime.

It is a super-2 number, since 2×480460519² = 461684620635498722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480460517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18909 + ... + 36310.

It is an arithmetic number, because the mean of its divisors is an integer number (37770480).

Almost surely, 2^480460519 is an apocalyptic number.

480460519 is a deficient number, since it is larger than the sum of its proper divisors (123867161).

480460519 is a wasteful number, since it uses less digits than its factorization.

480460519 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55350.

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 480460519 is about 21919.4096407727. The cubic root of 480460519 is about 783.2238469381.

The spelling of 480460519 in words is "four hundred eighty million, four hundred sixty thousand, five hundred nineteen".