480165414 has 32 divisors (see below), whose sum is σ = 969566976. Its totient is φ = 158523360.

The previous prime is 480165401. The next prime is 480165419. The reversal of 480165414 is 414561084.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480165419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347004 + ... + 348384.

It is an arithmetic number, because the mean of its divisors is an integer number (30298968).

Almost surely, 2^480165414 is an apocalyptic number.

480165414 is an abundant number, since it is smaller than the sum of its proper divisors (489401562).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480165414 is a wasteful number, since it uses less digits than its factorization.

480165414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900.

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 480165414 is about 21912.6770158281. The cubic root of 480165414 is about 783.0634587258.

The spelling of 480165414 in words is "four hundred eighty million, one hundred sixty-five thousand, four hundred fourteen".