479505140 has 48 divisors (see below), whose sum is σ = 1058838480. Its totient is φ = 182138880.

The previous prime is 479505133. The next prime is 479505149. The reversal of 479505140 is 41505974.

It can be written as a sum of positive squares in 8 ways, for example, as 21031396 + 458473744 = 4586^2 + 21412^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 479505140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479505149) 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, 28604 + ... + 42156.

It is an arithmetic number, because the mean of its divisors is an integer number (22059135).

Almost surely, 2^479505140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479505140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529419240).

479505140 is an abundant number, since it is smaller than the sum of its proper divisors (579333340).

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

479505140 is a wasteful number, since it uses less digits than its factorization.

479505140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13652 (or 13650 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 479505140 is about 21897.6058052016. The cubic root of 479505140 is about 782.7043646859.

The spelling of 479505140 in words is "four hundred seventy-nine million, five hundred five thousand, one hundred forty".