479856960 has 588 divisors, whose sum is σ = 1993881204. Its totient is φ = 109486080.

The previous prime is 479856919. The next prime is 479856973. The reversal of 479856960 is 69658974.

479856960 is a `hidden beast` number, since 4 + 79 + 8 + 569 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 276623424 + 203233536 = 16632^2 + 14256^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 479856897 and 479856906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 28226872 + ... + 28226888.

Almost surely, 2^479856960 is an apocalyptic number.

479856960 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 479856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996940602).

479856960 is an abundant number, since it is smaller than the sum of its proper divisors (1514024244).

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

479856960 is a wasteful number, since it uses less digits than its factorization.

479856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 479856960 is about 21905.6376305279. The cubic root of 479856960 is about 782.8957451363.

It can be divided in two parts, 47985 and 6960, that added together give a palindrome (54945).

The spelling of 479856960 in words is "four hundred seventy-nine million, eight hundred fifty-six thousand, nine hundred sixty".