479280 has 40 divisors (see below), whose sum is σ = 1486512. Its totient is φ = 127744.

The previous prime is 479267. The next prime is 479287. The reversal of 479280 is 82974.

479280 = T₆₇ + T₆₈ + ... + T₁₄₆.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (479287) by changing a digit.

479280 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 759 + ... + 1238.

2⁴⁷⁹²⁸⁰ is an apocalyptic number.

479280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

479280 is an abundant number, since it is smaller than the sum of its proper divisors (1007232).

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

479280 is a wasteful number, since it uses less digits than its factorization.

479280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 479280 is about 692.3005127833. The cubic root of 479280 is about 78.2581845563.

The spelling of 479280 in words is "four hundred seventy-nine thousand, two hundred eighty".