479619154560 has 1536 divisors, whose sum is σ = 2040790671360. Its totient is φ = 93103718400.

The previous prime is 479619154559. The next prime is 479619154591. The reversal of 479619154560 is 65451916974.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 479619154560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6755199325 + ... + 6755199395.

It is an arithmetic number, because the mean of its divisors is an integer number (1328639760).

Almost surely, 2^479619154560 is an apocalyptic number.

479619154560 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 479619154560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020395335680).

479619154560 is an abundant number, since it is smaller than the sum of its proper divisors (1561171516800).

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

479619154560 is a wasteful number, since it uses less digits than its factorization.

479619154560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 57.

The spelling of 479619154560 in words is "four hundred seventy-nine billion, six hundred nineteen million, one hundred fifty-four thousand, five hundred sixty".