479609385840 has 360 divisors, whose sum is σ = 1747465445232. Its totient is φ = 117831168000.

The previous prime is 479609385811. The next prime is 479609385847. The reversal of 479609385840 is 48583906974.

479609385840 is a `hidden beast` number, since 47 + 9 + 6 + 0 + 9 + 3 + 8 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479609385847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68502340 + ... + 68509340.

Almost surely, 2^479609385840 is an apocalyptic number.

479609385840 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 479609385840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873732722616).

479609385840 is an abundant number, since it is smaller than the sum of its proper divisors (1267856059392).

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

479609385840 is a wasteful number, since it uses less digits than its factorization.

479609385840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7609 (or 7587 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 479609385840 in words is "four hundred seventy-nine billion, six hundred nine million, three hundred eighty-five thousand, eight hundred forty".