480690 has 72 divisors (see below), whose sum is σ = 1467180. Its totient is φ = 108864.

The previous prime is 480661. The next prime is 480707. The reversal of 480690 is 96084.

480690 is a nontrivial binomial coefficient, being equal to C(981, 2).

It can be written as a sum of positive squares in 2 ways, for example, as 480249 + 441 = 693^2 + 21^2 .

It is a super-3 number, since 3×480690³ = 333208841737527000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480690.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4356 + ... + 4464.

2⁴⁸⁰⁶⁹⁰ is an apocalyptic number.

480690 is the 980-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733590).

480690 is an abundant number, since it is smaller than the sum of its proper divisors (986490).

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

480690 is a wasteful number, since it uses less digits than its factorization.

480690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 480690 is about 693.3181088072. The cubic root of 480690 is about 78.3348523422.

The spelling of 480690 in words is "four hundred eighty thousand, six hundred ninety".