480609690 has 32 divisors (see below), whose sum is σ = 1258324416. Its totient is φ = 116511360.

The previous prime is 480609659. The next prime is 480609713. The reversal of 480609690 is 96906084.

It is a super-3 number, since 3×480609690³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 727867 + ... + 728526.

It is an arithmetic number, because the mean of its divisors is an integer number (39322638).

Almost surely, 2^480609690 is an apocalyptic number.

480609690 is an abundant number, since it is smaller than the sum of its proper divisors (777714726).

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

480609690 is a wasteful number, since it uses less digits than its factorization.

480609690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456414.

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 480609690 is about 21922.8120915178. The cubic root of 480609690 is about 783.3048957032.

The spelling of 480609690 in words is "four hundred eighty million, six hundred nine thousand, six hundred ninety".