479616 has 32 divisors (see below), whose sum is σ = 1275000. Its totient is φ = 159744.

The previous prime is 479599. The next prime is 479623. The reversal of 479616 is 616974.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

479616 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 3 ways as a sum of consecutive naturals, for example, 241 + ... + 1008.

2⁴⁷⁹⁶¹⁶ is an apocalyptic number.

It is an amenable number.

479616 is an abundant number, since it is smaller than the sum of its proper divisors (795384).

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

479616 is a wasteful number, since it uses less digits than its factorization.

479616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1254 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 479616 is about 692.5431394505. The cubic root of 479616 is about 78.2764679590.

The spelling of 479616 in words is "four hundred seventy-nine thousand, six hundred sixteen".