480978 has 20 divisors (see below), whose sum is σ = 1078110. Its totient is φ = 160272.

The previous prime is 480967. The next prime is 480979. The reversal of 480978 is 879084.

It can be written as a sum of positive squares in only one way, i.e., 480249 + 729 = 693^2 + 27^2 .

It is a super-3 number, since 3×480978³ = 333808115617204056, which contains 333 as substring.

It is an Ulam number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480978.

It is not an unprimeable number, because it can be changed into a prime (480979) by changing a digit.

480978 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 9 ways as a sum of consecutive naturals, for example, 1323 + ... + 1646.

2⁴⁸⁰⁹⁷⁸ is an apocalyptic number.

480978 is an abundant number, since it is smaller than the sum of its proper divisors (597132).

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

480978 is a wasteful number, since it uses less digits than its factorization.

480978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 480978 is about 693.5257745751. The cubic root of 480978 is about 78.3504937003.

The spelling of 480978 in words is "four hundred eighty thousand, nine hundred seventy-eight".