479936160 has 288 divisors, whose sum is σ = 1832725440. Its totient is φ = 113356800.

The previous prime is 479936153. The next prime is 479936173. The reversal of 479936160 is 61639974.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649071 + ... + 649809.

It is an arithmetic number, because the mean of its divisors is an integer number (6363630).

Almost surely, 2^479936160 is an apocalyptic number.

479936160 is a gapful number since it is divisible by the number (40) 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 479936160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916362720).

479936160 is an abundant number, since it is smaller than the sum of its proper divisors (1352789280).

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

479936160 is a wasteful number, since it uses less digits than its factorization.

479936160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 479936160 is about 21907.4453097571. The cubic root of 479936160 is about 782.9388148683.

It can be divided in two parts, 479 and 936160, that added together give a palindrome (936639).

The spelling of 479936160 in words is "four hundred seventy-nine million, nine hundred thirty-six thousand, one hundred sixty".