479864 has 64 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 172800.

The previous prime is 479861. The next prime is 479879. The reversal of 479864 is 468974.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

Its product of digits (48384) is a multiple of the sum of its prime factors (84).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 479864.

It is not an unprimeable number, because it can be changed into a prime (479861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11684 + ... + 11724.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2⁴⁷⁹⁸⁶⁴ is an apocalyptic number.

479864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

479864 is an abundant number, since it is smaller than the sum of its proper divisors (729736).

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

479864 is a wasteful number, since it uses less digits than its factorization.

479864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 80 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 479864 is about 692.7221665285. The cubic root of 479864 is about 78.2899573749.

The spelling of 479864 in words is "four hundred seventy-nine thousand, eight hundred sixty-four".